45863964 has 72 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 14620032.

The previous prime is 45863959. The next prime is 45863969. The reversal of 45863964 is 46936854.

45863964 is a `hidden beast` number, since 4 + 5 + 8 + 639 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (45863959) and next prime (45863969).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45863969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205557 + ... + 205779.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^45863964 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 45863964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

45863964 is an abundant number, since it is smaller than the sum of its proper divisors (75216996).

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

45863964 is a wasteful number, since it uses less digits than its factorization.

45863964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 454 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45863964 is about 6772.2938506831. The cubic root of 45863964 is about 357.9512329149.

The spelling of 45863964 in words is "forty-five million, eight hundred sixty-three thousand, nine hundred sixty-four".