402765696 has 192 divisors, whose sum is σ = 1256411520. Its totient is φ = 128189952.

The previous prime is 402765689. The next prime is 402765697. The reversal of 402765696 is 696567204.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402765697) 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, 715111 + ... + 715673.

It is an arithmetic number, because the mean of its divisors is an integer number (6543810).

Almost surely, 2^402765696 is an apocalyptic number.

402765696 is a gapful number since it is divisible by the number (46) 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 402765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628205760).

402765696 is an abundant number, since it is smaller than the sum of its proper divisors (853645824).

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

402765696 is an equidigital number, since it uses as much as digits as its factorization.

402765696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 402765696 is about 20069.0232946200. The cubic root of 402765696 is about 738.5005527465.

The spelling of 402765696 in words is "four hundred two million, seven hundred sixty-five thousand, six hundred ninety-six".