47877840 has 120 divisors (see below), whose sum is σ = 166406760. Its totient is φ = 12321792.

The previous prime is 47877833. The next prime is 47877847. The reversal of 47877840 is 4877874.

47877840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47877833) and next prime (47877847).

It can be written as a sum of positive squares in 4 ways, for example, as 2396304 + 45481536 = 1548^2 + 6744^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47877847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19734 + ... + 22026.

It is an arithmetic number, because the mean of its divisors is an integer number (1386723).

Almost surely, 2^47877840 is an apocalyptic number.

47877840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47877840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83203380).

47877840 is an abundant number, since it is smaller than the sum of its proper divisors (118528920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47877840 is a wasteful number, since it uses less digits than its factorization.

47877840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 47877840 is about 6919.3814752476. The cubic root of 47877840 is about 363.1155518569.

The spelling of 47877840 in words is "forty-seven million, eight hundred seventy-seven thousand, eight hundred forty".