401276160 has 288 divisors, whose sum is σ = 1509943680. Its totient is φ = 100564992.

The previous prime is 401276153. The next prime is 401276191. The reversal of 401276160 is 61672104.

401276160 is a `hidden beast` number, since 40 + 1 + 2 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×401276160² = 322045113168691200, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587179 + ... + 587861.

It is an arithmetic number, because the mean of its divisors is an integer number (5242860).

Almost surely, 2^401276160 is an apocalyptic number.

401276160 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 401276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754971840).

401276160 is an abundant number, since it is smaller than the sum of its proper divisors (1108667520).

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

401276160 is a wasteful number, since it uses less digits than its factorization.

401276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 401276160 is about 20031.8785938813. The cubic root of 401276160 is about 737.5890368420.

The spelling of 401276160 in words is "four hundred one million, two hundred seventy-six thousand, one hundred sixty".