401727312 has 60 divisors (see below), whose sum is σ = 1284892960. Its totient is φ = 114778944.

The previous prime is 401727311. The next prime is 401727329. The reversal of 401727312 is 213727104.

It is a happy number.

It is a super-2 number, since 2×401727312² = 322769666413490688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401727311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198262 + ... + 200277.

Almost surely, 2^401727312 is an apocalyptic number.

401727312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

401727312 is an abundant number, since it is smaller than the sum of its proper divisors (883165648).

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

401727312 is a wasteful number, since it uses less digits than its factorization.

401727312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398560 (or 398551 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 401727312 is about 20043.1362815304. The cubic root of 401727312 is about 737.8653553908.

It can be divided in two parts, 4017 and 27312, that added together give a square (31329 = 177²).

The spelling of 401727312 in words is "four hundred one million, seven hundred twenty-seven thousand, three hundred twelve".