402646000 has 80 divisors (see below), whose sum is σ = 983062080. Its totient is φ = 159494400.

The previous prime is 402645989. The next prime is 402646009. The reversal of 402646000 is 646204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402646009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217077 + ... + 218923.

It is an arithmetic number, because the mean of its divisors is an integer number (12288276).

Almost surely, 2^402646000 is an apocalyptic number.

402646000 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 402646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491531040).

402646000 is an abundant number, since it is smaller than the sum of its proper divisors (580416080).

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

402646000 is a wasteful number, since it uses less digits than its factorization.

402646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 402646000 is about 20066.0409647743. The cubic root of 402646000 is about 738.4273883558.

It can be divided in two parts, 40264 and 6000, that added together give a palindrome (46264).

The spelling of 402646000 in words is "four hundred two million, six hundred forty-six thousand".