402407280 has 360 divisors, whose sum is σ = 1543651200. Its totient is φ = 93772800.

The previous prime is 402407267. The next prime is 402407303. The reversal of 402407280 is 82704204.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2700646 + ... + 2700794.

It is an arithmetic number, because the mean of its divisors is an integer number (4287920).

Almost surely, 2^402407280 is an apocalyptic number.

402407280 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 402407280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

402407280 is an abundant number, since it is smaller than the sum of its proper divisors (1141243920).

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

402407280 is a wasteful number, since it uses less digits than its factorization.

402407280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 402407280 is about 20060.0917246158. The cubic root of 402407280 is about 738.2814270278.

The spelling of 402407280 in words is "four hundred two million, four hundred seven thousand, two hundred eighty".