402813400 has 96 divisors (see below), whose sum is σ = 1026920880. Its totient is φ = 145728000.

The previous prime is 402813371. The next prime is 402813401. The reversal of 402813400 is 4318204.

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 (402813401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609070 + ... + 609730.

Almost surely, 2^402813400 is an apocalyptic number.

402813400 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 402813400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513460440).

402813400 is an abundant number, since it is smaller than the sum of its proper divisors (624107480).

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

402813400 is a wasteful number, since it uses less digits than its factorization.

402813400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 402813400 is about 20070.2117577269. The cubic root of 402813400 is about 738.5297078607.

It can be divided in two parts, 40281 and 3400, that added together give a square (43681 = 209²).

The spelling of 402813400 in words is "four hundred two million, eight hundred thirteen thousand, four hundred".