401856120 has 128 divisors (see below), whose sum is σ = 1355961600. Its totient is φ = 105846912.

The previous prime is 401856109. The next prime is 401856121. The reversal of 401856120 is 21658104.

401856120 is a `hidden beast` number, since 40 + 1 + 8 + 5 + 612 + 0 = 666.

It is a super-2 number, since 2×401856120² = 322976682362908800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401856121) 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 31 ways as a sum of consecutive naturals, for example, 87399 + ... + 91881.

It is an arithmetic number, because the mean of its divisors is an integer number (10593450).

Almost surely, 2^401856120 is an apocalyptic number.

401856120 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 401856120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677980800).

401856120 is an abundant number, since it is smaller than the sum of its proper divisors (954105480).

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

401856120 is a wasteful number, since it uses less digits than its factorization.

401856120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 401856120 is about 20046.3492935746. The cubic root of 401856120 is about 737.9442088831.

The spelling of 401856120 in words is "four hundred one million, eight hundred fifty-six thousand, one hundred twenty".