45930320 has 80 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 17505792.

The previous prime is 45930317. The next prime is 45930329. The reversal of 45930320 is 2303954.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 45930320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45930329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174509 + ... + 174771.

It is an arithmetic number, because the mean of its divisors is an integer number (1399464).

Almost surely, 2^45930320 is an apocalyptic number.

45930320 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 45930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

45930320 is an abundant number, since it is smaller than the sum of its proper divisors (66026800).

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

45930320 is a wasteful number, since it uses less digits than its factorization.

45930320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 45930320 is about 6777.1911585848. The cubic root of 45930320 is about 358.1237777208.

The spelling of 45930320 in words is "forty-five million, nine hundred thirty thousand, three hundred twenty".