402613120 has 256 divisors, whose sum is σ = 1228308480. Its totient is φ = 122757120.

The previous prime is 402613111. The next prime is 402613157. The reversal of 402613120 is 21316204.

It is a super-2 number, since 2×402613120² = 324194648792268800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1805329 + ... + 1805551.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2^402613120 is an apocalyptic number.

402613120 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 402613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614154240).

402613120 is an abundant number, since it is smaller than the sum of its proper divisors (825695360).

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

402613120 is a wasteful number, since it uses less digits than its factorization.

402613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 402613120 is about 20065.2216533982. The cubic root of 402613120 is about 738.4072878593.

Adding to 402613120 its reverse (21316204), we get a palindrome (423929324).

The spelling of 402613120 in words is "four hundred two million, six hundred thirteen thousand, one hundred twenty".