45286800 has 120 divisors (see below), whose sum is σ = 156281664. Its totient is φ = 11143680.

The previous prime is 45286799. The next prime is 45286847. The reversal of 45286800 is 868254.

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

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, 14149 + ... + 17051.

Almost surely, 2^45286800 is an apocalyptic number.

45286800 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 45286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140832).

45286800 is an abundant number, since it is smaller than the sum of its proper divisors (110994864).

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

45286800 is a wasteful number, since it uses less digits than its factorization.

45286800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 45286800 is about 6729.5467900892. The cubic root of 45286800 is about 356.4433730111.

The spelling of 45286800 in words is "forty-five million, two hundred eighty-six thousand, eight hundred".