45696700 has 72 divisors (see below), whose sum is σ = 114666272. Its totient is φ = 15482880.

The previous prime is 45696683. The next prime is 45696701. The reversal of 45696700 is 769654.

45696700 = 375² + 376² + ... + 574².

It is a self number, because there is not a number n which added to its sum of digits gives 45696700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45696701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67564 + ... + 68236.

Almost surely, 2^45696700 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 45696700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57333136).

45696700 is an abundant number, since it is smaller than the sum of its proper divisors (68969572).

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

45696700 is a wasteful number, since it uses less digits than its factorization.

45696700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 45696700 is about 6759.9334316249. The cubic root of 45696700 is about 357.5155583559.

The spelling of 45696700 in words is "forty-five million, six hundred ninety-six thousand, seven hundred".