45872460 has 192 divisors, whose sum is σ = 159667200. Its totient is φ = 10865664.

The previous prime is 45872447. The next prime is 45872471. The reversal of 45872460 is 6427854.

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 63 ways as a sum of consecutive naturals, for example, 174289 + ... + 174551.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^45872460 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 45872460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

45872460 is an abundant number, since it is smaller than the sum of its proper divisors (113794740).

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

45872460 is a wasteful number, since it uses less digits than its factorization.

45872460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45872460 is about 6772.9210832550. The cubic root of 45872460 is about 357.9733342601.

The spelling of 45872460 in words is "forty-five million, eight hundred seventy-two thousand, four hundred sixty".