45489600 has 336 divisors, whose sum is σ = 180787040. Its totient is φ = 11197440.

The previous prime is 45489599. The next prime is 45489601. The reversal of 45489600 is 698454.

45489600 is a `hidden beast` number, since 4 + 5 + 48 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (45489599) and next prime (45489601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45489601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499194 + ... + 3499206.

Almost surely, 2^45489600 is an apocalyptic number.

45489600 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 45489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90393520).

45489600 is an abundant number, since it is smaller than the sum of its proper divisors (135297440).

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

45489600 is an equidigital number, since it uses as much as digits as its factorization.

45489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45489600 is about 6744.5978382703. The cubic root of 45489600 is about 356.9746468825.

The spelling of 45489600 in words is "forty-five million, four hundred eighty-nine thousand, six hundred".