402624 has 56 divisors (see below), whose sum is σ = 1188720. Its totient is φ = 133632.

The previous prime is 402613. The next prime is 402631. The reversal of 402624 is 426204.

Added to its reverse (426204) it gives a triangular number (828828 = T₁₂₈₇).

402624 is a `hidden beast` number, since 40 + 2 + 624 = 666.

402624 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402597 and 402606.

It is an unprimeable number.

402624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1612 + ... + 1844.

2⁴⁰²⁶²⁴ 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 402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594360).

402624 is an abundant number, since it is smaller than the sum of its proper divisors (786096).

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

402624 is a wasteful number, since it uses less digits than its factorization.

402624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 402624 is about 634.5265951873. The cubic root of 402624 is about 73.8413939240.

Adding to 402624 its reverse (426204), we get a palindrome (828828).

The spelling of 402624 in words is "four hundred two thousand, six hundred twenty-four".