401218272 has 360 divisors, whose sum is σ = 1484289576. Its totient is φ = 105815808.

The previous prime is 401218267. The next prime is 401218283. The reversal of 401218272 is 272812104.

It is a super-2 number, since 2×401218272² = 321952203573331968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30862938 + ... + 30862950.

Almost surely, 2^401218272 is an apocalyptic number.

401218272 is a gapful number since it is divisible by the number (42) 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 401218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742144788).

401218272 is an abundant number, since it is smaller than the sum of its proper divisors (1083071304).

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

401218272 is an frugal number, since it uses more digits than its factorization.

401218272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 401218272 is about 20030.4336448316. The cubic root of 401218272 is about 737.5535669988.

The spelling of 401218272 in words is "four hundred one million, two hundred eighteen thousand, two hundred seventy-two".