45622400 has 96 divisors (see below), whose sum is σ = 115254900. Its totient is φ = 17838080.

The previous prime is 45622397. The next prime is 45622403. The reversal of 45622400 is 422654.

It is an interprime number because it is at equal distance from previous prime (45622397) and next prime (45622403).

It can be written as a sum of positive squares in 6 ways, for example, as 10291264 + 35331136 = 3208^2 + 5944^2 .

It is not an unprimeable number, because it can be changed into a prime (45622403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169466 + ... + 169734.

Almost surely, 2^45622400 is an apocalyptic number.

45622400 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 45622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57627450).

45622400 is an abundant number, since it is smaller than the sum of its proper divisors (69632500).

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

45622400 is a wasteful number, since it uses less digits than its factorization.

45622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 45622400 is about 6754.4355796765. The cubic root of 45622400 is about 357.3216872024.

The spelling of 45622400 in words is "forty-five million, six hundred twenty-two thousand, four hundred".