402556000 has 192 divisors, whose sum is σ = 1234082304. Its totient is φ = 125376000.

The previous prime is 402555991. The next prime is 402556001. The reversal of 402556000 is 655204.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402556001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307347 + ... + 308653.

It is an arithmetic number, because the mean of its divisors is an integer number (6427512).

Almost surely, 2^402556000 is an apocalyptic number.

402556000 is a gapful number since it is divisible by the number (40) 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 402556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617041152).

402556000 is an abundant number, since it is smaller than the sum of its proper divisors (831526304).

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

402556000 is a wasteful number, since it uses less digits than its factorization.

402556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 402556000 is about 20063.7982445997. The cubic root of 402556000 is about 738.3723661467.

It can be divided in two parts, 4025 and 56000, that added together give a square (60025 = 245²).

The spelling of 402556000 in words is "four hundred two million, five hundred fifty-six thousand".