402916440 has 64 divisors (see below), whose sum is σ = 1216224000. Its totient is φ = 106780032.

The previous prime is 402916433. The next prime is 402916457. The reversal of 402916440 is 44619204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 402916398 and 402916407.

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 15 ways as a sum of consecutive naturals, for example, 9261 + ... + 29859.

It is an arithmetic number, because the mean of its divisors is an integer number (19003500).

Almost surely, 2^402916440 is an apocalyptic number.

402916440 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 402916440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608112000).

402916440 is an abundant number, since it is smaller than the sum of its proper divisors (813307560).

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

402916440 is a wasteful number, since it uses less digits than its factorization.

402916440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776 (or 20772 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 402916440 is about 20072.7785819502. The cubic root of 402916440 is about 738.5926746615.

It can be divided in two parts, 4029164 and 40, that added together give a palindrome (4029204).

The spelling of 402916440 in words is "four hundred two million, nine hundred sixteen thousand, four hundred forty".