402361080 has 256 divisors, whose sum is σ = 1424563200. Its totient is φ = 89886720.

The previous prime is 402361027. The next prime is 402361087. The reversal of 402361080 is 80163204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402361080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402361087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880212 + ... + 880668.

It is an arithmetic number, because the mean of its divisors is an integer number (5564700).

Almost surely, 2^402361080 is an apocalyptic number.

402361080 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 402361080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712281600).

402361080 is an abundant number, since it is smaller than the sum of its proper divisors (1022202120).

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

402361080 is a wasteful number, since it uses less digits than its factorization.

402361080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 402361080 is about 20058.9401514636. The cubic root of 402361080 is about 738.2531721485.

The spelling of 402361080 in words is "four hundred two million, three hundred sixty-one thousand, eighty".