402464640 has 128 divisors (see below), whose sum is σ = 1296681120. Its totient is φ = 106168320.

The previous prime is 402464627. The next prime is 402464659. The reversal of 402464640 is 46464204.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 402464598 and 402464607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185160 + ... + 187320.

Almost surely, 2^402464640 is an apocalyptic number.

402464640 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 402464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648340560).

402464640 is an abundant number, since it is smaller than the sum of its proper divisors (894216480).

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

402464640 is a wasteful number, since it uses less digits than its factorization.

402464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 402464640 is about 20061.5213780012. The cubic root of 402464640 is about 738.3165041025.

The spelling of 402464640 in words is "four hundred two million, four hundred sixty-four thousand, six hundred forty".