401864112 has 160 divisors (see below), whose sum is σ = 1252697600. Its totient is φ = 122611968.

The previous prime is 401864101. The next prime is 401864123. The reversal of 401864112 is 211468104.

It is a happy number.

401864112 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 641 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (401864101) and next prime (401864123).

It is a super-2 number, since 2×401864112² = 322989529027097088, which contains 22 as substring.

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

It is an unprimeable number.

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, 915189 + ... + 915627.

It is an arithmetic number, because the mean of its divisors is an integer number (7829360).

Almost surely, 2^401864112 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 401864112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626348800).

401864112 is an abundant number, since it is smaller than the sum of its proper divisors (850833488).

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

401864112 is a wasteful number, since it uses less digits than its factorization.

401864112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 401864112 is about 20046.5486306247. The cubic root of 401864112 is about 737.9491008587.

The spelling of 401864112 in words is "four hundred one million, eight hundred sixty-four thousand, one hundred twelve".