402673920 has 144 divisors (see below), whose sum is σ = 1403099712. Its totient is φ = 97607680.

The previous prime is 402673891. The next prime is 402673939. The reversal of 402673920 is 29376204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37474 + ... + 47006.

It is an arithmetic number, because the mean of its divisors is an integer number (9743748).

Almost surely, 2^402673920 is an apocalyptic number.

402673920 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 402673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701549856).

402673920 is an abundant number, since it is smaller than the sum of its proper divisors (1000425792).

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

402673920 is a wasteful number, since it uses less digits than its factorization.

402673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 402673920 is about 20066.7366554704. The cubic root of 402673920 is about 738.4444558014. Note that the first 4 decimals are identical.

The spelling of 402673920 in words is "four hundred two million, six hundred seventy-three thousand, nine hundred twenty".