45931320 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 12055680.

The previous prime is 45931313. The next prime is 45931321. The reversal of 45931320 is 2313954.

45931320 is a nontrivial binomial coefficient, being equal to C(9585, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45931321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76381 + ... + 76979.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 2^45931320 is an apocalyptic number.

45931320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45931320 is the 9584-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45931320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

45931320 is an abundant number, since it is smaller than the sum of its proper divisors (109588680).

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

45931320 is a wasteful number, since it uses less digits than its factorization.

45931320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45931320 is about 6777.2649350605. The cubic root of 45931320 is about 358.1263767388.

The spelling of 45931320 in words is "forty-five million, nine hundred thirty-one thousand, three hundred twenty".