402870784 has 80 divisors (see below), whose sum is σ = 853427520. Its totient is φ = 189665280.

The previous prime is 402870773. The next prime is 402870791. The reversal of 402870784 is 487078204.

402870784 = 463² + 464² + ... + 1093².

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638149 + ... + 638779.

It is an arithmetic number, because the mean of its divisors is an integer number (10667844).

Almost surely, 2^402870784 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 402870784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426713760).

402870784 is an abundant number, since it is smaller than the sum of its proper divisors (450556736).

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

402870784 is an equidigital number, since it uses as much as digits as its factorization.

402870784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 402870784 is about 20071.6412881458. The cubic root of 402870784 is about 738.5647760225.

The spelling of 402870784 in words is "four hundred two million, eight hundred seventy thousand, seven hundred eighty-four".