402404000 has 96 divisors (see below), whose sum is σ = 1023094800. Its totient is φ = 155366400.

The previous prime is 402403999. The next prime is 402404017. The reversal of 402404000 is 404204.

It can be written as a sum of positive squares in 8 ways, for example, as 5438224 + 396965776 = 2332^2 + 19924^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114266 + ... + 117734.

Almost surely, 2^402404000 is an apocalyptic number.

402404000 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 402404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511547400).

402404000 is an abundant number, since it is smaller than the sum of its proper divisors (620690800).

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

402404000 is a wasteful number, since it uses less digits than its factorization.

402404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 402404000 is about 20060.0099700873. The cubic root of 402404000 is about 738.2794211250.

Adding to 402404000 its reverse (404204), we get a palindrome (402808204).

The spelling of 402404000 in words is "four hundred two million, four hundred four thousand".