4455864 has 96 divisors (see below), whose sum is σ = 14432400. Its totient is φ = 1270080.

The previous prime is 4455863. The next prime is 4455877. The reversal of 4455864 is 4685544.

4455864 is a `hidden beast` number, since 44 + 558 + 64 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4455863) 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, 10374 + ... + 10794.

Almost surely, 2^4455864 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 4455864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216200).

4455864 is an abundant number, since it is smaller than the sum of its proper divisors (9976536).

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

4455864 is a wasteful number, since it uses less digits than its factorization.

4455864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 4455864 is about 2110.8917546857. The cubic root of 4455864 is about 164.5548330860.

The spelling of 4455864 in words is "four million, four hundred fifty-five thousand, eight hundred sixty-four".