401296896 has 640 divisors, whose sum is σ = 1649894400. Its totient is φ = 92897280.

The previous prime is 401296879. The next prime is 401296897. The reversal of 401296896 is 698692104.

It is a happy number.

It is a super-2 number, since 2×401296896² = 322078397478469632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401296897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13837810 + ... + 13837838.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^401296896 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 401296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

401296896 is an abundant number, since it is smaller than the sum of its proper divisors (1248597504).

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

401296896 is a wasteful number, since it uses less digits than its factorization.

401296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 401296896 is about 20032.3961622168. The cubic root of 401296896 is about 737.6017416277.

The spelling of 401296896 in words is "four hundred one million, two hundred ninety-six thousand, eight hundred ninety-six".