402957282 has 192 divisors, whose sum is σ = 1103155200. Its totient is φ = 96888960.

The previous prime is 402957271. The next prime is 402957287. The reversal of 402957282 is 282759204.

It is a super-2 number, since 2×402957282² = 324749142233655048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 402957282.

It is not an unprimeable number, because it can be changed into a prime (402957287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2251069 + ... + 2251247.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^402957282 is an apocalyptic number.

402957282 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 402957282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

402957282 is an abundant number, since it is smaller than the sum of its proper divisors (700197918).

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

402957282 is a wasteful number, since it uses less digits than its factorization.

402957282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 402957282 is about 20073.7959041134. The cubic root of 402957282 is about 738.6176298630.

The spelling of 402957282 in words is "four hundred two million, nine hundred fifty-seven thousand, two hundred eighty-two".