401896080 has 200 divisors, whose sum is σ = 1411126200. Its totient is φ = 106002432.

The previous prime is 401896073. The next prime is 401896081. The reversal of 401896080 is 80698104.

It is a happy number.

401896080 is a `hidden beast` number, since 40 + 1 + 8 + 9 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 379314576 = 4752^2 + 19476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401896081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 706036 + ... + 706604.

It is an arithmetic number, because the mean of its divisors is an integer number (7055631).

Almost surely, 2^401896080 is an apocalyptic number.

401896080 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 401896080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705563100).

401896080 is an abundant number, since it is smaller than the sum of its proper divisors (1009230120).

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

401896080 is a wasteful number, since it uses less digits than its factorization.

401896080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 401896080 is about 20047.3459590041. The cubic root of 401896080 is about 737.9686681126.

The spelling of 401896080 in words is "four hundred one million, eight hundred ninety-six thousand, eighty".