45864801 has 24 divisors (see below), whose sum is σ = 67695264. Its totient is φ = 29917440.

The previous prime is 45864799. The next prime is 45864811. The reversal of 45864801 is 10846854.

45864801 is a `hidden beast` number, since 4 + 5 + 8 + 648 + 0 + 1 = 666.

It is not a de Polignac number, because 45864801 - 2¹ = 45864799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45864811) 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, 93166 + ... + 93656.

It is an arithmetic number, because the mean of its divisors is an integer number (2820636).

Almost surely, 2^45864801 is an apocalyptic number.

It is an amenable number.

45864801 is a deficient number, since it is larger than the sum of its proper divisors (21830463).

45864801 is a wasteful number, since it uses less digits than its factorization.

45864801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45864801 is about 6772.3556463021. The cubic root of 45864801 is about 357.9534103932.

It can be divided in two parts, 45864 and 801, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 45864801 in words is "forty-five million, eight hundred sixty-four thousand, eight hundred one".