45833900 has 72 divisors (see below), whose sum is σ = 116513376. Its totient is φ = 15321600.

The previous prime is 45833869. The next prime is 45833911. The reversal of 45833900 is 933854.

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, 27902 + ... + 29498.

Almost surely, 2^45833900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45833900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58256688).

45833900 is an abundant number, since it is smaller than the sum of its proper divisors (70679476).

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

45833900 is a wasteful number, since it uses less digits than its factorization.

45833900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 45833900 is about 6770.0738548409. The cubic root of 45833900 is about 357.8730030282.

The spelling of 45833900 in words is "forty-five million, eight hundred thirty-three thousand, nine hundred".