402985440 has 576 divisors, whose sum is σ = 1717148160. Its totient is φ = 84602880.

The previous prime is 402985439. The next prime is 402985469. The reversal of 402985440 is 44589204.

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

It is a junction number, because it is equal to n+sod(n) for n = 402985395 and 402985404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3912429 + ... + 3912531.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^402985440 is an apocalyptic number.

402985440 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 402985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

402985440 is an abundant number, since it is smaller than the sum of its proper divisors (1314162720).

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

402985440 is a wasteful number, since it uses less digits than its factorization.

402985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 402985440 is about 20074.4972539787. The cubic root of 402985440 is about 738.6348339288.

The spelling of 402985440 in words is "four hundred two million, nine hundred eighty-five thousand, four hundred forty".