402624024 has 64 divisors (see below), whose sum is σ = 1116720000. Its totient is φ = 119934720.

The previous prime is 402624017. The next prime is 402624029. The reversal of 402624024 is 420426204.

It is a super-2 number, since 2×402624024² = 324212209403905152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 402623985 and 402624003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402624029) 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, 2652 + ... + 28500.

It is an arithmetic number, because the mean of its divisors is an integer number (17448750).

Almost surely, 2^402624024 is an apocalyptic number.

402624024 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 402624024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558360000).

402624024 is an abundant number, since it is smaller than the sum of its proper divisors (714095976).

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

402624024 is a wasteful number, since it uses less digits than its factorization.

402624024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25928 (or 25924 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 402624024 is about 20065.4933654770. The cubic root of 402624024 is about 738.4139539117.

It can be divided in two parts, 402 and 624024, that added together give a palindrome (624426).

The spelling of 402624024 in words is "four hundred two million, six hundred twenty-four thousand, twenty-four".