45257856 has 128 divisors (see below), whose sum is σ = 139536000. Its totient is φ = 12730368.

The previous prime is 45257843. The next prime is 45257857. The reversal of 45257856 is 65875254.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45257857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303670 + ... + 303818.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 2^45257856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768000).

45257856 is an abundant number, since it is smaller than the sum of its proper divisors (94278144).

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

45257856 is a wasteful number, since it uses less digits than its factorization.

45257856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The square root of 45257856 is about 6727.3959300758. The cubic root of 45257856 is about 356.3674193432.

The spelling of 45257856 in words is "forty-five million, two hundred fifty-seven thousand, eight hundred fifty-six".