45957252 has 72 divisors (see below), whose sum is σ = 121789696. Its totient is φ = 13464000.

The previous prime is 45957251. The next prime is 45957253. The reversal of 45957252 is 25275954.

It is an interprime number because it is at equal distance from previous prime (45957251) and next prime (45957253).

It is a super-2 number, since 2×45957252² = 4224138022783008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45957252.

It is not an unprimeable number, because it can be changed into a prime (45957251) 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, 44502 + ... + 45522.

Almost surely, 2^45957252 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 45957252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60894848).

45957252 is an abundant number, since it is smaller than the sum of its proper divisors (75832444).

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

45957252 is a wasteful number, since it uses less digits than its factorization.

45957252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1068 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 45957252 is about 6779.1778262559. The cubic root of 45957252 is about 358.1937613034.

The spelling of 45957252 in words is "forty-five million, nine hundred fifty-seven thousand, two hundred fifty-two".