401158272 has 128 divisors (see below), whose sum is σ = 1134207360. Its totient is φ = 125345792.

The previous prime is 401158271. The next prime is 401158283. The reversal of 401158272 is 272851104.

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

It is not an unprimeable number, because it can be changed into a prime (401158271) 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, 467668 + ... + 468524.

It is an arithmetic number, because the mean of its divisors is an integer number (8860995).

Almost surely, 2^401158272 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 401158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567103680).

401158272 is an abundant number, since it is smaller than the sum of its proper divisors (733049088).

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

401158272 is a wasteful number, since it uses less digits than its factorization.

401158272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 401158272 is about 20028.9358678887. The cubic root of 401158272 is about 737.5167994641.

The spelling of 401158272 in words is "four hundred one million, one hundred fifty-eight thousand, two hundred seventy-two".