45258600 has 48 divisors (see below), whose sum is σ = 140303520. Its totient is φ = 12068800.

The previous prime is 45258593. The next prime is 45258611. The reversal of 45258600 is 685254.

45258600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37116 + ... + 38315.

It is an arithmetic number, because the mean of its divisors is an integer number (2922990).

Almost surely, 2^45258600 is an apocalyptic number.

45258600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45258600 is an abundant number, since it is smaller than the sum of its proper divisors (95044920).

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

45258600 is a wasteful number, since it uses less digits than its factorization.

45258600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75450 (or 75441 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45258600 is about 6727.4512261331. The cubic root of 45258600 is about 356.3693721232.

The spelling of 45258600 in words is "forty-five million, two hundred fifty-eight thousand, six hundred".