402306912 has 288 divisors, whose sum is σ = 1430956800. Its totient is φ = 108615168.

The previous prime is 402306881. The next prime is 402306923. The reversal of 402306912 is 219603204.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034014 + ... + 1034402.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2^402306912 is an apocalyptic number.

402306912 is a gapful number since it is divisible by the number (42) 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 402306912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715478400).

402306912 is an abundant number, since it is smaller than the sum of its proper divisors (1028649888).

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

402306912 is a wasteful number, since it uses less digits than its factorization.

402306912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 402306912 is about 20057.5898851283. The cubic root of 402306912 is about 738.2200414652.

The spelling of 402306912 in words is "four hundred two million, three hundred six thousand, nine hundred twelve".