45857160 has 192 divisors, whose sum is σ = 161740800. Its totient is φ = 11225088.

The previous prime is 45857159. The next prime is 45857179. The reversal of 45857160 is 6175854.

45857160 is a `hidden beast` number, since 4 + 585 + 71 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361017 + ... + 361143.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^45857160 is an apocalyptic number.

45857160 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 45857160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

45857160 is an abundant number, since it is smaller than the sum of its proper divisors (115883640).

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

45857160 is a wasteful number, since it uses less digits than its factorization.

45857160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45857160 is about 6771.7914911787. The cubic root of 45857160 is about 357.9335311404.

The spelling of 45857160 in words is "forty-five million, eight hundred fifty-seven thousand, one hundred sixty".