402728256 has 252 divisors, whose sum is σ = 1415369280. Its totient is φ = 108864000.

The previous prime is 402728243. The next prime is 402728269. The reversal of 402728256 is 652827204.

It is an interprime number because it is at equal distance from previous prime (402728243) and next prime (402728269).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 402728256.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 535881 + ... + 536631.

Almost surely, 2^402728256 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 402728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707684640).

402728256 is an abundant number, since it is smaller than the sum of its proper divisors (1012641024).

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

402728256 is a wasteful number, since it uses less digits than its factorization.

402728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 402728256 is about 20068.0904921221. The cubic root of 402728256 is about 738.4776690387.

The spelling of 402728256 in words is "four hundred two million, seven hundred twenty-eight thousand, two hundred fifty-six".