402066720 has 192 divisors, whose sum is σ = 1535345280. Its totient is φ = 97459200.

The previous prime is 402066719. The next prime is 402066761. The reversal of 402066720 is 27660204.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43290 + ... + 51750.

It is an arithmetic number, because the mean of its divisors is an integer number (7996590).

Almost surely, 2^402066720 is an apocalyptic number.

402066720 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 402066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767672640).

402066720 is an abundant number, since it is smaller than the sum of its proper divisors (1133278560).

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

402066720 is a wasteful number, since it uses less digits than its factorization.

402066720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 402066720 is about 20051.6014323046. The cubic root of 402066720 is about 738.0730973931.

The spelling of 402066720 in words is "four hundred two million, sixty-six thousand, seven hundred twenty".