45933320 has 64 divisors (see below), whose sum is σ = 113011200. Its totient is φ = 16727040.

The previous prime is 45933319. The next prime is 45933343. The reversal of 45933320 is 2333954.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19991 + ... + 22169.

It is an arithmetic number, because the mean of its divisors is an integer number (1765800).

Almost surely, 2^45933320 is an apocalyptic number.

45933320 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 45933320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56505600).

45933320 is an abundant number, since it is smaller than the sum of its proper divisors (67077880).

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

45933320 is a wasteful number, since it uses less digits than its factorization.

45933320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The square root of 45933320 is about 6777.4124856025. The cubic root of 45933320 is about 358.1315746615.

The spelling of 45933320 in words is "forty-five million, nine hundred thirty-three thousand, three hundred twenty".