402765888 has 168 divisors, whose sum is σ = 1280550144. Its totient is φ = 111283200.

The previous prime is 402765871. The next prime is 402765901. The reversal of 402765888 is 888567204.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290958 + ... + 292338.

Almost surely, 2^402765888 is an apocalyptic number.

402765888 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 402765888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640275072).

402765888 is an abundant number, since it is smaller than the sum of its proper divisors (877784256).

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

402765888 is a wasteful number, since it uses less digits than its factorization.

402765888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 402765888 is about 20069.0280781108. The cubic root of 402765888 is about 738.5006700952.

It can be divided in two parts, 40276 and 5888, that added together give a palindrome (46164).

The spelling of 402765888 in words is "four hundred two million, seven hundred sixty-five thousand, eight hundred eighty-eight".