402966720 has 336 divisors, whose sum is σ = 1531071360. Its totient is φ = 96657408.

The previous prime is 402966661. The next prime is 402966721. The reversal of 402966720 is 27669204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402966721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1759566 + ... + 1759794.

It is an arithmetic number, because the mean of its divisors is an integer number (4556760).

Almost surely, 2^402966720 is an apocalyptic number.

402966720 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 402966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765535680).

402966720 is an abundant number, since it is smaller than the sum of its proper divisors (1128104640).

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

402966720 is a wasteful number, since it uses less digits than its factorization.

402966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 402966720 is about 20074.0309853303. The cubic root of 402966720 is about 738.6233964120.

The spelling of 402966720 in words is "four hundred two million, nine hundred sixty-six thousand, seven hundred twenty".