45465600 has 180 divisors, whose sum is σ = 154398104. Its totient is φ = 11796480.

The previous prime is 45465593. The next prime is 45465617. The reversal of 45465600 is 656454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1228782 + ... + 1228818.

Almost surely, 2^45465600 is an apocalyptic number.

45465600 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 45465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77199052).

45465600 is an abundant number, since it is smaller than the sum of its proper divisors (108932504).

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

45465600 is an equidigital number, since it uses as much as digits as its factorization.

45465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45465600 is about 6742.8184018258. The cubic root of 45465600 is about 356.9118567161.

The spelling of 45465600 in words is "forty-five million, four hundred sixty-five thousand, six hundred".