45606400 has 120 divisors (see below), whose sum is σ = 129389040. Its totient is φ = 15605760.

The previous prime is 45606397. The next prime is 45606409. The reversal of 45606400 is 460654.

It is a happy number.

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 (45606409) 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, 89346 + ... + 89854.

It is an arithmetic number, because the mean of its divisors is an integer number (1078242).

Almost surely, 2^45606400 is an apocalyptic number.

45606400 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 45606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64694520).

45606400 is an abundant number, since it is smaller than the sum of its proper divisors (83782640).

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

45606400 is an equidigital number, since it uses as much as digits as its factorization.

45606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 45606400 is about 6753.2510689297. The cubic root of 45606400 is about 357.2799108274.

The spelling of 45606400 in words is "forty-five million, six hundred six thousand, four hundred".