402900 has 72 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 99840.

The previous prime is 402881. The next prime is 402923. The reversal of 402900 is 9204.

402900 = T₃₅ + T₃₆ + ... + T₁₃₄.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 402900.

It is a congruent number.

It is an unprimeable number.

402900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 5139.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁴⁰²⁹⁰⁰ 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 402900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

402900 is an abundant number, since it is smaller than the sum of its proper divisors (847020).

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

402900 is a wasteful number, since it uses less digits than its factorization.

402900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 402900 is about 634.7440429023. The cubic root of 402900 is about 73.8582629048.

The spelling of 402900 in words is "four hundred two thousand, nine hundred".