402361160 has 48 divisors (see below), whose sum is σ = 922973940. Its totient is φ = 157863680.

The previous prime is 402361147. The next prime is 402361163. The reversal of 402361160 is 61163204.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 340550116 + 61811044 = 18454^2 + 7862^2 .

It is not an unprimeable number, because it can be changed into a prime (402361163) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 110570 + ... + 114150.

Almost surely, 2^402361160 is an apocalyptic number.

402361160 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 402361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461486970).

402361160 is an abundant number, since it is smaller than the sum of its proper divisors (520612780).

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

402361160 is a wasteful number, since it uses less digits than its factorization.

402361160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 402361160 is about 20058.9421455868. The cubic root of 402361160 is about 738.2532210766.

The spelling of 402361160 in words is "four hundred two million, three hundred sixty-one thousand, one hundred sixty".