402982272 has 432 divisors, whose sum is σ = 1507860900. Its totient is φ = 102896640.

The previous prime is 402982253. The next prime is 402982291. The reversal of 402982272 is 272289204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402982253) and next prime (402982291).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6830179 + ... + 6830237.

Almost surely, 2^402982272 is an apocalyptic number.

402982272 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 402982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753930450).

402982272 is an abundant number, since it is smaller than the sum of its proper divisors (1104878628).

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

402982272 is a wasteful number, since it uses less digits than its factorization.

402982272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 402982272 is about 20074.4183477380. The cubic root of 402982272 is about 738.6328983739.

The spelling of 402982272 in words is "four hundred two million, nine hundred eighty-two thousand, two hundred seventy-two".