45287600 has 60 divisors (see below), whose sum is σ = 111376056. Its totient is φ = 17687040.

The previous prime is 45287597. The next prime is 45287603. The reversal of 45287600 is 678254.

It is an interprime number because it is at equal distance from previous prime (45287597) and next prime (45287603).

It is not an unprimeable number, because it can be changed into a prime (45287603) 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, 15884 + ... + 18516.

Almost surely, 2^45287600 is an apocalyptic number.

45287600 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 45287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55688028).

45287600 is an abundant number, since it is smaller than the sum of its proper divisors (66088456).

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

45287600 is a wasteful number, since it uses less digits than its factorization.

45287600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 45287600 is about 6729.6062291935. The cubic root of 45287600 is about 356.4454718789.

The spelling of 45287600 in words is "forty-five million, two hundred eighty-seven thousand, six hundred".