402833772 has 72 divisors (see below), whose sum is σ = 1117247040. Its totient is φ = 121367520.

The previous prime is 402833771. The next prime is 402833789. The reversal of 402833772 is 277338204.

402833772 is a `hidden beast` number, since 4 + 0 + 283 + 377 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (402833771) 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, 68043 + ... + 73725.

It is an arithmetic number, because the mean of its divisors is an integer number (15517320).

Almost surely, 2^402833772 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 402833772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558623520).

402833772 is an abundant number, since it is smaller than the sum of its proper divisors (714413268).

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

402833772 is a wasteful number, since it uses less digits than its factorization.

402833772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 402833772 is about 20070.7192696226. The cubic root of 402833772 is about 738.5421578549.

The spelling of 402833772 in words is "four hundred two million, eight hundred thirty-three thousand, seven hundred seventy-two".