45871320 has 256 divisors, whose sum is σ = 165888000. Its totient is φ = 10022400.

The previous prime is 45871313. The next prime is 45871367. The reversal of 45871320 is 2317854.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777451 + ... + 777509.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 2^45871320 is an apocalyptic number.

45871320 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 45871320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944000).

45871320 is an abundant number, since it is smaller than the sum of its proper divisors (120016680).

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

45871320 is a wasteful number, since it uses less digits than its factorization.

45871320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 45871320 is about 6772.8369240666. The cubic root of 45871320 is about 357.9703688426.

The spelling of 45871320 in words is "forty-five million, eight hundred seventy-one thousand, three hundred twenty".