402864 has 80 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 103680.

The previous prime is 402863. The next prime is 402869. The reversal of 402864 is 468204.

It is a super-4 number, since 4×402864⁴ (a number of 24 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402864.

It is not an unprimeable number, because it can be changed into a prime (402863) 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, 3642 + ... + 3750.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2⁴⁰²⁸⁶⁴ is an apocalyptic number.

402864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

402864 is an abundant number, since it is smaller than the sum of its proper divisors (906576).

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

402864 is a wasteful number, since it uses less digits than its factorization.

402864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 402864 is about 634.7156843816. The cubic root of 402864 is about 73.8560630399.

The spelling of 402864 in words is "four hundred two thousand, eight hundred sixty-four".