45700320 has 96 divisors (see below), whose sum is σ = 151562880. Its totient is φ = 11543040.

The previous prime is 45700307. The next prime is 45700331. The reversal of 45700320 is 2300754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 6615 + ... + 11625.

It is an arithmetic number, because the mean of its divisors is an integer number (1578780).

Almost surely, 2^45700320 is an apocalyptic number.

45700320 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 45700320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75781440).

45700320 is an abundant number, since it is smaller than the sum of its proper divisors (105862560).

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

45700320 is a wasteful number, since it uses less digits than its factorization.

45700320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 45700320 is about 6760.2011804383. The cubic root of 45700320 is about 357.5249986594.

The spelling of 45700320 in words is "forty-five million, seven hundred thousand, three hundred twenty".