45514400 has 36 divisors (see below), whose sum is σ = 111113982. Its totient is φ = 18205440.

The previous prime is 45514363. The next prime is 45514409. The reversal of 45514400 is 441554.

It can be written as a sum of positive squares in 3 ways, for example, as 25120144 + 20394256 = 5012^2 + 4516^2 .

It is not an unprimeable number, because it can be changed into a prime (45514409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27647 + ... + 29246.

Almost surely, 2^45514400 is an apocalyptic number.

45514400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45514400 is an abundant number, since it is smaller than the sum of its proper divisors (65599582).

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

45514400 is a wasteful number, since it uses less digits than its factorization.

45514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56913 (or 56900 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 45514400 is about 6746.4360961918. The cubic root of 45514400 is about 357.0395068572.

Adding to 45514400 its reverse (441554), we get a palindrome (45955954).

The spelling of 45514400 in words is "forty-five million, five hundred fourteen thousand, four hundred".