401296000 has 128 divisors (see below), whose sum is σ = 1140572160. Its totient is φ = 137548800.

The previous prime is 401295989. The next prime is 401296001. The reversal of 401296000 is 692104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×401296000² = 322076959232000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401296001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110209 + ... + 113791.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2^401296000 is an apocalyptic number.

401296000 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 401296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570286080).

401296000 is an abundant number, since it is smaller than the sum of its proper divisors (739276160).

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

401296000 is an equidigital number, since it uses as much as digits as its factorization.

401296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 401296000 is about 20032.3737984294. The cubic root of 401296000 is about 737.6011926645.

It can be divided in two parts, 40 and 1296000, that multiplied together give a square (51840000 = 7200²).

The spelling of 401296000 in words is "four hundred one million, two hundred ninety-six thousand".