45709504 has 56 divisors (see below), whose sum is σ = 94589600. Its totient is φ = 21897216.

The previous prime is 45709501. The next prime is 45709507. The reversal of 45709504 is 40590754.

It is an interprime number because it is at equal distance from previous prime (45709501) and next prime (45709507).

It is a self number, because there is not a number n which added to its sum of digits gives 45709504.

It is not an unprimeable number, because it can be changed into a prime (45709501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229597 + ... + 229795.

It is an arithmetic number, because the mean of its divisors is an integer number (1689100).

Almost surely, 2^45709504 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 45709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47294800).

45709504 is an abundant number, since it is smaller than the sum of its proper divisors (48880096).

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

45709504 is a wasteful number, since it uses less digits than its factorization.

45709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 45709504 is about 6760.8804160405. The cubic root of 45709504 is about 357.5489466293.

The spelling of 45709504 in words is "forty-five million, seven hundred nine thousand, five hundred four".