45874880 has 84 divisors (see below), whose sum is σ = 114616992. Its totient is φ = 17487360.

The previous prime is 45874877. The next prime is 45874901. The reversal of 45874880 is 8847854.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169145 + ... + 169415.

It is an arithmetic number, because the mean of its divisors is an integer number (1364488).

Almost surely, 2^45874880 is an apocalyptic number.

45874880 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 45874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57308496).

45874880 is an abundant number, since it is smaller than the sum of its proper divisors (68742112).

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

45874880 is a wasteful number, since it uses less digits than its factorization.

45874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The square root of 45874880 is about 6773.0997335046. The cubic root of 45874880 is about 357.9796291063.

The spelling of 45874880 in words is "forty-five million, eight hundred seventy-four thousand, eight hundred eighty".