402219792 has 240 divisors, whose sum is σ = 1299916800. Its totient is φ = 115153920.

The previous prime is 402219781. The next prime is 402219793. The reversal of 402219792 is 297912204.

It is a super-2 number, since 2×402219792² = 323561522153046528, which contains 22 as substring.

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 (402219793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682809 + ... + 1683047.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^402219792 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 402219792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649958400).

402219792 is an abundant number, since it is smaller than the sum of its proper divisors (897697008).

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

402219792 is a wasteful number, since it uses less digits than its factorization.

402219792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 402219792 is about 20055.4180210735. The cubic root of 402219792 is about 738.1667501669.

The spelling of 402219792 in words is "four hundred two million, two hundred nineteen thousand, seven hundred ninety-two".