402616400 has 120 divisors (see below), whose sum is σ = 999040224. Its totient is φ = 155865600.

The previous prime is 402616397. The next prime is 402616421. The reversal of 402616400 is 4616204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2224310 + ... + 2224490.

Almost surely, 2^402616400 is an apocalyptic number.

402616400 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 402616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499520112).

402616400 is an abundant number, since it is smaller than the sum of its proper divisors (596423824).

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

402616400 is a wasteful number, since it uses less digits than its factorization.

402616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 402616400 is about 20065.3033866922. The cubic root of 402616400 is about 738.4092930675.

The spelling of 402616400 in words is "four hundred two million, six hundred sixteen thousand, four hundred".