45564600 has 48 divisors (see below), whose sum is σ = 141252120. Its totient is φ = 12150400.

The previous prime is 45564599. The next prime is 45564601. The reversal of 45564600 is 646554.

45564600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45564599) and next prime (45564601).

It is a super-2 number, since 2×45564600² = 4152265546320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45564601) by changing a digit.

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, 37371 + ... + 38570.

Almost surely, 2^45564600 is an apocalyptic number.

45564600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45564600 is an abundant number, since it is smaller than the sum of its proper divisors (95687520).

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

45564600 is a wasteful number, since it uses less digits than its factorization.

45564600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75960 (or 75951 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45564600 is about 6750.1555537632. The cubic root of 45564600 is about 357.1707239208.

It can be divided in two parts, 45564 and 600, that added together give a palindrome (46164).

The spelling of 45564600 in words is "forty-five million, five hundred sixty-four thousand, six hundred".