45714400 has 36 divisors (see below), whose sum is σ = 111602232. Its totient is φ = 18285440.

The previous prime is 45714391. The next prime is 45714407. The reversal of 45714400 is 441754.

45714400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45714407) 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 5 ways as a sum of consecutive naturals, for example, 27772 + ... + 29371.

It is an arithmetic number, because the mean of its divisors is an integer number (3100062).

Almost surely, 2^45714400 is an apocalyptic number.

45714400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45714400 is an abundant number, since it is smaller than the sum of its proper divisors (65887832).

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

45714400 is a wasteful number, since it uses less digits than its factorization.

45714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57163 (or 57150 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 45714400 is about 6761.2424893654. The cubic root of 45714400 is about 357.5617120062.

The spelling of 45714400 in words is "forty-five million, seven hundred fourteen thousand, four hundred".