45760512 has 180 divisors, whose sum is σ = 149417520. Its totient is φ = 12386304.

The previous prime is 45760487. The next prime is 45760523. The reversal of 45760512 is 21506754.

It is a self number, because there is not a number n which added to its sum of digits gives 45760512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2408439 + ... + 2408457.

Almost surely, 2^45760512 is an apocalyptic number.

45760512 is a gapful number since it is divisible by the number (42) 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 45760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74708760).

45760512 is an abundant number, since it is smaller than the sum of its proper divisors (103657008).

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

45760512 is an equidigital number, since it uses as much as digits as its factorization.

45760512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 45760512 is about 6764.6516540026. The cubic root of 45760512 is about 357.6818954714.

The spelling of 45760512 in words is "forty-five million, seven hundred sixty thousand, five hundred twelve".