45946800 has 90 divisors (see below), whose sum is σ = 159460652. Its totient is φ = 12251520.

The previous prime is 45946799. The next prime is 45946811. The reversal of 45946800 is 864954.

45946800 is a `hidden beast` number, since 4 + 594 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×45946800² = 4222216860480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2782 + ... + 9981.

Almost surely, 2^45946800 is an apocalyptic number.

45946800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45946800 is an abundant number, since it is smaller than the sum of its proper divisors (113513852).

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

45946800 is a wasteful number, since it uses less digits than its factorization.

45946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12787 (or 12773 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45946800 is about 6778.4068924785. The cubic root of 45946800 is about 358.1666047257.

The spelling of 45946800 in words is "forty-five million, nine hundred forty-six thousand, eight hundred".