402112620 has 384 divisors, whose sum is σ = 1580544000. Its totient is φ = 84333312.

The previous prime is 402112609. The next prime is 402112631. The reversal of 402112620 is 26211204.

402112620 is a `hidden beast` number, since 40 + 2 + 1 + 1 + 2 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (402112609) and next prime (402112631).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402112593 and 402112602.

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 127 ways as a sum of consecutive naturals, for example, 2407777 + ... + 2407943.

It is an arithmetic number, because the mean of its divisors is an integer number (4116000).

Almost surely, 2^402112620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402112620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790272000).

402112620 is an abundant number, since it is smaller than the sum of its proper divisors (1178431380).

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

402112620 is a wasteful number, since it uses less digits than its factorization.

402112620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 402112620 is about 20052.7459466279. The cubic root of 402112620 is about 738.1011825047.

Adding to 402112620 its reverse (26211204), we get a palindrome (428323824).

It can be divided in two parts, 4021 and 12620, that added together give a square (16641 = 129²).

The spelling of 402112620 in words is "four hundred two million, one hundred twelve thousand, six hundred twenty".