402864840 has 384 divisors, whose sum is σ = 1610219520. Its totient is φ = 88646400.

The previous prime is 402864823. The next prime is 402864851. The reversal of 402864840 is 48468204.

402864840 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 648 + 4 + 0 = 666.

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 = 402864795 and 402864804.

It is a congruent number.

It is an unprimeable number.

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, 2109145 + ... + 2109335.

It is an arithmetic number, because the mean of its divisors is an integer number (4193280).

Almost surely, 2^402864840 is an apocalyptic number.

402864840 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 402864840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805109760).

402864840 is an abundant number, since it is smaller than the sum of its proper divisors (1207354680).

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

402864840 is a wasteful number, since it uses less digits than its factorization.

402864840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 402864840 is about 20071.4932179945. The cubic root of 402864840 is about 738.5611437159.

The spelling of 402864840 in words is "four hundred two million, eight hundred sixty-four thousand, eight hundred forty".