48177840 has 80 divisors (see below), whose sum is σ = 150276096. Its totient is φ = 12768000.

The previous prime is 48177839. The next prime is 48177851. The reversal of 48177840 is 4877184.

48177840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×48177840² = 4642208534131200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45315 + ... + 46365.

Almost surely, 2^48177840 is an apocalyptic number.

48177840 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 48177840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75138048).

48177840 is an abundant number, since it is smaller than the sum of its proper divisors (102098256).

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

48177840 is a wasteful number, since it uses less digits than its factorization.

48177840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 48177840 is about 6941.0258607788. The cubic root of 48177840 is about 363.8723941874.

The spelling of 48177840 in words is "forty-eight million, one hundred seventy-seven thousand, eight hundred forty".