402024816 has 80 divisors (see below), whose sum is σ = 1161790720. Its totient is φ = 133099200.

The previous prime is 402024773. The next prime is 402024851. The reversal of 402024816 is 618420204.

402024816 is a `hidden beast` number, since 402 + 0 + 248 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 402024816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62151 + ... + 68313.

It is an arithmetic number, because the mean of its divisors is an integer number (14522384).

Almost surely, 2^402024816 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 402024816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580895360).

402024816 is an abundant number, since it is smaller than the sum of its proper divisors (759765904).

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

402024816 is a wasteful number, since it uses less digits than its factorization.

402024816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 402024816 is about 20050.5565010052. The cubic root of 402024816 is about 738.0474554718.

The spelling of 402024816 in words is "four hundred two million, twenty-four thousand, eight hundred sixteen".