402416280 has 384 divisors, whose sum is σ = 1601233920. Its totient is φ = 85662720.

The previous prime is 402416269. The next prime is 402416291. The reversal of 402416280 is 82614204.

It is an interprime number because it is at equal distance from previous prime (402416269) and next prime (402416291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3071815 + ... + 3071945.

It is an arithmetic number, because the mean of its divisors is an integer number (4169880).

Almost surely, 2^402416280 is an apocalyptic number.

402416280 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 402416280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800616960).

402416280 is an abundant number, since it is smaller than the sum of its proper divisors (1198817640).

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

402416280 is a wasteful number, since it uses less digits than its factorization.

402416280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 402416280 is about 20060.3160493548. The cubic root of 402416280 is about 738.2869309733.

The spelling of 402416280 in words is "four hundred two million, four hundred sixteen thousand, two hundred eighty".