401272248 has 192 divisors, whose sum is σ = 1180569600. Its totient is φ = 113218560.

The previous prime is 401272247. The next prime is 401272297. The reversal of 401272248 is 842272104.

It is a super-2 number, since 2×401272248² = 322038834029947008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401272247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3159561 + ... + 3159687.

It is an arithmetic number, because the mean of its divisors is an integer number (6148800).

Almost surely, 2^401272248 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 401272248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590284800).

401272248 is an abundant number, since it is smaller than the sum of its proper divisors (779297352).

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

401272248 is a wasteful number, since it uses less digits than its factorization.

401272248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 401272248 is about 20031.7809492816. The cubic root of 401272248 is about 737.5866399410.

The spelling of 401272248 in words is "four hundred one million, two hundred seventy-two thousand, two hundred forty-eight".