45966360 has 128 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 10997760.

The previous prime is 45966353. The next prime is 45966379. The reversal of 45966360 is 6366954.

It is a happy number.

It is a super-2 number, since 2×45966360² = 4225812503299200, 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 31 ways as a sum of consecutive naturals, for example, 127861 + ... + 128219.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^45966360 is an apocalyptic number.

45966360 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 45966360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

45966360 is an abundant number, since it is smaller than the sum of its proper divisors (106443240).

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

45966360 is a wasteful number, since it uses less digits than its factorization.

45966360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 45966360 is about 6779.8495558530. The cubic root of 45966360 is about 358.2174225185.

The spelling of 45966360 in words is "forty-five million, nine hundred sixty-six thousand, three hundred sixty".