402168624 has 120 divisors (see below), whose sum is σ = 1227546432. Its totient is φ = 112469760.

The previous prime is 402168617. The next prime is 402168629. The reversal of 402168624 is 426861204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (402168629) 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, 86979 + ... + 91485.

Almost surely, 2^402168624 is an apocalyptic number.

402168624 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 402168624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613773216).

402168624 is an abundant number, since it is smaller than the sum of its proper divisors (825377808).

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

402168624 is a wasteful number, since it uses less digits than its factorization.

402168624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 402168624 is about 20054.1423152425. The cubic root of 402168624 is about 738.1354471175.

The spelling of 402168624 in words is "four hundred two million, one hundred sixty-eight thousand, six hundred twenty-four".