402850368 has 112 divisors (see below), whose sum is σ = 1225296000. Its totient is φ = 129636864.

The previous prime is 402850337. The next prime is 402850381. The reversal of 402850368 is 863058204.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46093 + ... + 54131.

Almost surely, 2^402850368 is an apocalyptic number.

402850368 is a gapful number since it is divisible by the number (48) 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 402850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612648000).

402850368 is an abundant number, since it is smaller than the sum of its proper divisors (822445632).

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

402850368 is a wasteful number, since it uses less digits than its factorization.

402850368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8089 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 402850368 is about 20071.1327034625. The cubic root of 402850368 is about 738.5522999021.

The spelling of 402850368 in words is "four hundred two million, eight hundred fifty thousand, three hundred sixty-eight".