45605700 has 288 divisors, whose sum is σ = 177766400. Its totient is φ = 9797760.

The previous prime is 45605699. The next prime is 45605701. The reversal of 45605700 is 750654.

It is an interprime number because it is at equal distance from previous prime (45605699) and next prime (45605701).

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 (45605701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359037 + ... + 359163.

Almost surely, 2^45605700 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 45605700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88883200).

45605700 is an abundant number, since it is smaller than the sum of its proper divisors (132160700).

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

45605700 is a wasteful number, since it uses less digits than its factorization.

45605700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45605700 is about 6753.1992418409. The cubic root of 45605700 is about 357.2780828880.

The spelling of 45605700 in words is "forty-five million, six hundred five thousand, seven hundred".