45966508 has 36 divisors (see below), whose sum is σ = 96813360. Its totient is φ = 19018272.

The previous prime is 45966497. The next prime is 45966523. The reversal of 45966508 is 80566954.

It is a super-2 number, since 2×45966508² = 4225839715428128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641 + ... + 9727.

It is an arithmetic number, because the mean of its divisors is an integer number (2689260).

Almost surely, 2^45966508 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 45966508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48406680).

45966508 is an abundant number, since it is smaller than the sum of its proper divisors (50846852).

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

45966508 is a wasteful number, since it uses less digits than its factorization.

45966508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8134 (or 8125 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 45966508 is about 6779.8604705407. The cubic root of 45966508 is about 358.2178069745.

The spelling of 45966508 in words is "forty-five million, nine hundred sixty-six thousand, five hundred eight".