402765000 has 160 divisors (see below), whose sum is σ = 1373185440. Its totient is φ = 97600000.

The previous prime is 402764987. The next prime is 402765031. The reversal of 402765000 is 567204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163780 + ... + 166220.

It is an arithmetic number, because the mean of its divisors is an integer number (8582409).

Almost surely, 2^402765000 is an apocalyptic number.

402765000 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 402765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686592720).

402765000 is an abundant number, since it is smaller than the sum of its proper divisors (970420440).

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

402765000 is a wasteful number, since it uses less digits than its factorization.

402765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 402765000 is about 20069.0059544562. The cubic root of 402765000 is about 738.5001273571.

The spelling of 402765000 in words is "four hundred two million, seven hundred sixty-five thousand".