401273232 has 160 divisors (see below), whose sum is σ = 1124928000. Its totient is φ = 123002880.

The previous prime is 401273231. The next prime is 401273233. The reversal of 401273232 is 232372104.

It is an interprime number because it is at equal distance from previous prime (401273231) and next prime (401273233).

It is a super-2 number, since 2×401273232² = 322040413439451648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (401273231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4508644 + ... + 4508732.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^401273232 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 401273232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464000).

401273232 is an abundant number, since it is smaller than the sum of its proper divisors (723654768).

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

401273232 is a wasteful number, since it uses less digits than its factorization.

401273232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 401273232 is about 20031.8055102380. The cubic root of 401273232 is about 737.5872428440.

The spelling of 401273232 in words is "four hundred one million, two hundred seventy-three thousand, two hundred thirty-two".