402403680 has 288 divisors, whose sum is σ = 1639219680. Its totient is φ = 91929600.

The previous prime is 402403669. The next prime is 402403711. The reversal of 402403680 is 86304204.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210730 + ... + 212630.

It is an arithmetic number, because the mean of its divisors is an integer number (5691735).

Almost surely, 2^402403680 is an apocalyptic number.

402403680 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 402403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819609840).

402403680 is an abundant number, since it is smaller than the sum of its proper divisors (1236816000).

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

402403680 is a wasteful number, since it uses less digits than its factorization.

402403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 402403680 is about 20060.0019940178. The cubic root of 402403680 is about 738.2792254265.

Adding to 402403680 its reverse (86304204), we get a palindrome (488707884).

The spelling of 402403680 in words is "four hundred two million, four hundred three thousand, six hundred eighty".