7452864 has 112 divisors (see below), whose sum is σ = 23164800. Its totient is φ = 2343168.

The previous prime is 7452859. The next prime is 7452869. The reversal of 7452864 is 4682547.

7452864 is a `hidden beast` number, since 74 + 528 + 64 = 666.

7452864 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (7452859) and next prime (7452869).

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

It is not an unprimeable number, because it can be changed into a prime (7452869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32719 + ... + 32945.

Almost surely, 2^7452864 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 7452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582400).

7452864 is an abundant number, since it is smaller than the sum of its proper divisors (15711936).

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

7452864 is a wasteful number, since it uses less digits than its factorization.

7452864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7452864 is about 2729.9934065854. The cubic root of 7452864 is about 195.3324506426.

Adding to 7452864 its sum of digits (36), we get a square (7452900 = 2730²).

The spelling of 7452864 in words is "seven million, four hundred fifty-two thousand, eight hundred sixty-four".