47880405 has 48 divisors (see below), whose sum is σ = 86252400. Its totient is φ = 24551424.

The previous prime is 47880389. The next prime is 47880409. The reversal of 47880405 is 50408874.

47880405 = 243² + 244² + ... + 540².

It can be written as a sum of positive squares in 8 ways, for example, as 1830609 + 46049796 = 1353^2 + 6786^2 .

It is not a de Polignac number, because 47880405 - 2⁴ = 47880389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47880405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47880409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247989 + ... + 248181.

It is an arithmetic number, because the mean of its divisors is an integer number (1796925).

Almost surely, 2^47880405 is an apocalyptic number.

47880405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47880405 is a deficient number, since it is larger than the sum of its proper divisors (38371995).

47880405 is a wasteful number, since it uses less digits than its factorization.

47880405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 47880405 is about 6919.5668217021. The cubic root of 47880405 is about 363.1220362399.

The spelling of 47880405 in words is "forty-seven million, eight hundred eighty thousand, four hundred five".