45856400 has 30 divisors (see below), whose sum is σ = 110170962. Its totient is φ = 18342400.

The previous prime is 45856387. The next prime is 45856423. The reversal of 45856400 is 465854.

It can be written as a sum of positive squares in 3 ways, for example, as 7118224 + 38738176 = 2668^2 + 6224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56921 + ... + 57720.

Almost surely, 2^45856400 is an apocalyptic number.

45856400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45856400 is an abundant number, since it is smaller than the sum of its proper divisors (64314562).

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

45856400 is a wasteful number, since it uses less digits than its factorization.

45856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114659 (or 114648 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 45856400 is about 6771.7353758103. The cubic root of 45856400 is about 357.9315537612.

It can be divided in two parts, 4 and 5856400, that multiplied together give a square (23425600 = 4840²).

The spelling of 45856400 in words is "forty-five million, eight hundred fifty-six thousand, four hundred".