45971520 has 112 divisors (see below), whose sum is σ = 166835328. Its totient is φ = 10506240.

The previous prime is 45971509. The next prime is 45971533. The reversal of 45971520 is 2517954.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×45971520² = 4226761302220800, which contains 22 as substring.

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, 3300 + ... + 10140.

Almost surely, 2^45971520 is an apocalyptic number.

45971520 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 45971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83417664).

45971520 is an abundant number, since it is smaller than the sum of its proper divisors (120863808).

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

45971520 is a wasteful number, since it uses less digits than its factorization.

45971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 45971520 is about 6780.2300845915. The cubic root of 45971520 is about 358.2308260361.

The spelling of 45971520 in words is "forty-five million, nine hundred seventy-one thousand, five hundred twenty".