45602352 has 120 divisors (see below), whose sum is σ = 136355856. Its totient is φ = 14743296.

The previous prime is 45602329. The next prime is 45602357. The reversal of 45602352 is 25320654.

45602352 is a `hidden beast` number, since 4 + 5 + 602 + 3 + 52 = 666.

It is a super-4 number, since 4×45602352⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45602357) 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, 143698 + ... + 144014.

Almost surely, 2^45602352 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 45602352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68177928).

45602352 is an abundant number, since it is smaller than the sum of its proper divisors (90753504).

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

45602352 is a wasteful number, since it uses less digits than its factorization.

45602352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45602352 is about 6752.9513547781. The cubic root of 45602352 is about 357.2693398559.

It can be divided in two parts, 45602 and 352, that added together give a palindrome (45954).

The spelling of 45602352 in words is "forty-five million, six hundred two thousand, three hundred fifty-two".