45656400 has 60 divisors (see below), whose sum is σ = 146256512. Its totient is φ = 12174720.

The previous prime is 45656399. The next prime is 45656419. The reversal of 45656400 is 465654.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17824 + ... + 20223.

Almost surely, 2^45656400 is an apocalyptic number.

45656400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45656400 is an abundant number, since it is smaller than the sum of its proper divisors (100600112).

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

45656400 is a wasteful number, since it uses less digits than its factorization.

45656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38068 (or 38057 counting only the distinct ones).

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

The square root of 45656400 is about 6756.9519755582. The cubic root of 45656400 is about 357.4104295792.

It can be divided in two parts, 45656 and 400, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 45656400 in words is "forty-five million, six hundred fifty-six thousand, four hundred".