402810 has 32 divisors (see below), whose sum is σ = 1002240. Its totient is φ = 103488.

The previous prime is 402803. The next prime is 402817. The reversal of 402810 is 18204.

It is an interprime number because it is at equal distance from previous prime (402803) and next prime (402817).

It is a super-2 number, since 2×402810² = 324511792200, which contains 22 as substring.

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 402810.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 402810.

It is not an unprimeable number, because it can be changed into a prime (402817) 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, 639 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (31320).

2⁴⁰²⁸¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501120).

402810 is an abundant number, since it is smaller than the sum of its proper divisors (599430).

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

402810 is a wasteful number, since it uses less digits than its factorization.

402810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 402810 is about 634.6731442246. The cubic root of 402810 is about 73.8527629969.

It can be divided in two parts, 40 and 2810, that added together give a triangular number (2850 = T₇₅).

The spelling of 402810 in words is "four hundred two thousand, eight hundred ten".