45959940 has 96 divisors (see below), whose sum is σ = 154008960. Its totient is φ = 11311488.

The previous prime is 45959929. The next prime is 45959951. The reversal of 45959940 is 4995954.

45959940 is a `hidden beast` number, since 4 + 59 + 599 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45959929) and next prime (45959951).

It is a super-2 number, since 2×45959940² = 4224632169607200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3747 + ... + 10293.

It is an arithmetic number, because the mean of its divisors is an integer number (1604260).

Almost surely, 2^45959940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45959940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77004480).

45959940 is an abundant number, since it is smaller than the sum of its proper divisors (108049020).

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

45959940 is a wasteful number, since it uses less digits than its factorization.

45959940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 45959940 is about 6779.3760774868. The cubic root of 45959940 is about 358.2007446486.

It can be divided in two parts, 4595 and 9940, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 45959940 in words is "forty-five million, nine hundred fifty-nine thousand, nine hundred forty".