401947272 has 112 divisors (see below), whose sum is σ = 1158208380. Its totient is φ = 130714560.

The previous prime is 401947267. The next prime is 401947277. The reversal of 401947272 is 272749104.

The cubic root of 401947272 is 738.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (401947267) and next prime (401947277).

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 359254116 = 6534^2 + 18954^2 .

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 (401947277) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9803572 + ... + 9803612.

Almost surely, 2^401947272 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 401947272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579104190).

401947272 is an abundant number, since it is smaller than the sum of its proper divisors (756261108).

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

401947272 is an frugal number, since it uses more digits than its factorization.

401947272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 401947272 is about 20048.6226958362.

The spelling of 401947272 in words is "four hundred one million, nine hundred forty-seven thousand, two hundred seventy-two".