45574400 has 54 divisors (see below), whose sum is σ = 112819602. Its totient is φ = 18227200.

The previous prime is 45574393. The next prime is 45574423. The reversal of 45574400 is 447554.

It can be written as a sum of positive squares in 3 ways, for example, as 200704 + 45373696 = 448^2 + 6736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2840 + ... + 9960.

Almost surely, 2^45574400 is an apocalyptic number.

45574400 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 45574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56409801).

45574400 is an abundant number, since it is smaller than the sum of its proper divisors (67245202).

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

45574400 is an equidigital number, since it uses as much as digits as its factorization.

45574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7147 (or 7128 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 45574400 is about 6750.8814239327. The cubic root of 45574400 is about 357.1963287557.

The spelling of 45574400 in words is "forty-five million, five hundred seventy-four thousand, four hundred".