45932880 has 160 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 9939456.

The previous prime is 45932879. The next prime is 45932893. The reversal of 45932880 is 8823954.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31201 + ... + 32639.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^45932880 is an apocalyptic number.

45932880 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 45932880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

45932880 is an abundant number, since it is smaller than the sum of its proper divisors (125484720).

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

45932880 is a wasteful number, since it uses less digits than its factorization.

45932880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 45932880 is about 6777.3800247588. The cubic root of 45932880 is about 358.1304311314.

The spelling of 45932880 in words is "forty-five million, nine hundred thirty-two thousand, eight hundred eighty".