45315600 has 120 divisors (see below), whose sum is σ = 158403552. Its totient is φ = 10982400.

The previous prime is 45315581. The next prime is 45315623. The reversal of 45315600 is 651354.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11484 + ... + 14916.

Almost surely, 2^45315600 is an apocalyptic number.

45315600 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 45315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79201776).

45315600 is an abundant number, since it is smaller than the sum of its proper divisors (113087952).

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

45315600 is a wasteful number, since it uses less digits than its factorization.

45315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 45315600 is about 6731.6862671993. The cubic root of 45315600 is about 356.5189166853.

Adding to 45315600 its reverse (651354), we get a palindrome (45966954).

The spelling of 45315600 in words is "forty-five million, three hundred fifteen thousand, six hundred".