45879960 has 128 divisors (see below), whose sum is σ = 158676480. Its totient is φ = 10395648.

The previous prime is 45879947. The next prime is 45879973. The reversal of 45879960 is 6997854.

45879960 = T₈₅ + T₈₆ + ... + T₆₅₀.

It is an interprime number because it is at equal distance from previous prime (45879947) and next prime (45879973).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161979 + ... + 162261.

It is an arithmetic number, because the mean of its divisors is an integer number (1239660).

Almost surely, 2^45879960 is an apocalyptic number.

45879960 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 45879960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79338240).

45879960 is an abundant number, since it is smaller than the sum of its proper divisors (112796520).

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

45879960 is a wasteful number, since it uses less digits than its factorization.

45879960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 45879960 is about 6773.4747360568. The cubic root of 45879960 is about 357.9928423608.

The spelling of 45879960 in words is "forty-five million, eight hundred seventy-nine thousand, nine hundred sixty".