45712400 has 30 divisors (see below), whose sum is σ = 109825002. Its totient is φ = 18284800.

The previous prime is 45712399. The next prime is 45712421. The reversal of 45712400 is 421754.

It can be written as a sum of positive squares in 3 ways, for example, as 4393216 + 41319184 = 2096^2 + 6428^2 .

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, 56741 + ... + 57540.

Almost surely, 2^45712400 is an apocalyptic number.

45712400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45712400 is an abundant number, since it is smaller than the sum of its proper divisors (64112602).

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

45712400 is a wasteful number, since it uses less digits than its factorization.

45712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114299 (or 114288 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 45712400 is about 6761.0945859380. The cubic root of 45712400 is about 357.5564975016.

The spelling of 45712400 in words is "forty-five million, seven hundred twelve thousand, four hundred".