45166401 has 48 divisors (see below), whose sum is σ = 79497600. Its totient is φ = 24136704.

The previous prime is 45166393. The next prime is 45166409. The reversal of 45166401 is 10466154.

45166401 is a `hidden beast` number, since 4 + 5 + 16 + 640 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (45166393) and next prime (45166409).

It is not a de Polignac number, because 45166401 - 2³ = 45166393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45166409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115915 + ... + 116303.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 2^45166401 is an apocalyptic number.

It is an amenable number.

45166401 is a deficient number, since it is larger than the sum of its proper divisors (34331199).

45166401 is a wasteful number, since it uses less digits than its factorization.

45166401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45166401 is about 6720.5952861335. The cubic root of 45166401 is about 356.1272138254.

The spelling of 45166401 in words is "forty-five million, one hundred sixty-six thousand, four hundred one".