401254320 has 160 divisors (see below), whose sum is σ = 1309059072. Its totient is φ = 101477376.

The previous prime is 401254313. The next prime is 401254333. The reversal of 401254320 is 23452104.

401254320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401254320² = 322010058637324800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866409 + ... + 866871.

Almost surely, 2^401254320 is an apocalyptic number.

401254320 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 401254320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654529536).

401254320 is an abundant number, since it is smaller than the sum of its proper divisors (907804752).

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

401254320 is a wasteful number, since it uses less digits than its factorization.

401254320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 401254320 is about 20031.3334553644. Note that the first 3 decimals coincide. The cubic root of 401254320 is about 737.5756551709.

The spelling of 401254320 in words is "four hundred one million, two hundred fifty-four thousand, three hundred twenty".