402684672 has 144 divisors (see below), whose sum is σ = 1177491168. Its totient is φ = 121405440.

The previous prime is 402684671. The next prime is 402684679. The reversal of 402684672 is 276486204.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 402684672.

It is not an unprimeable number, because it can be changed into a prime (402684671) 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, 528772 + ... + 529532.

It is an arithmetic number, because the mean of its divisors is an integer number (8177022).

Almost surely, 2^402684672 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 402684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588745584).

402684672 is an abundant number, since it is smaller than the sum of its proper divisors (774806496).

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

402684672 is a wasteful number, since it uses less digits than its factorization.

402684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 402684672 is about 20067.0045597244. The cubic root of 402684672 is about 738.4510282692.

The spelling of 402684672 in words is "four hundred two million, six hundred eighty-four thousand, six hundred seventy-two".