402134304 has 144 divisors (see below), whose sum is σ = 1250012736. Its totient is φ = 112442880.

The previous prime is 402134279. The next prime is 402134309. The reversal of 402134304 is 403431204.

It is not an unprimeable number, because it can be changed into a prime (402134309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149677 + ... + 152339.

It is an arithmetic number, because the mean of its divisors is an integer number (8680644).

Almost surely, 2^402134304 is an apocalyptic number.

402134304 is a gapful number since it is divisible by the number (44) 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 402134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625006368).

402134304 is an abundant number, since it is smaller than the sum of its proper divisors (847878432).

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

402134304 is a wasteful number, since it uses less digits than its factorization.

402134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 402134304 is about 20053.2866134208. The cubic root of 402134304 is about 738.1144496821.

Adding to 402134304 its reverse (403431204), we get a palindrome (805565508).

The spelling of 402134304 in words is "four hundred two million, one hundred thirty-four thousand, three hundred four".