45514600 has 48 divisors (see below), whose sum is σ = 107052300. Its totient is φ = 17994240.

The previous prime is 45514501. The next prime is 45514619. The reversal of 45514600 is 641554.

It can be written as a sum of positive squares in 6 ways, for example, as 8328996 + 37185604 = 2886^2 + 6098^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16522 + ... + 19078.

Almost surely, 2^45514600 is an apocalyptic number.

45514600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45514600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53526150).

45514600 is an abundant number, since it is smaller than the sum of its proper divisors (61537700).

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

45514600 is a wasteful number, since it uses less digits than its factorization.

45514600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 45514600 is about 6746.4509188165. The cubic root of 45514600 is about 357.0400298257.

The spelling of 45514600 in words is "forty-five million, five hundred fourteen thousand, six hundred".