401361432 has 64 divisors (see below), whose sum is σ = 1064793600. Its totient is φ = 125637120.

The previous prime is 401361397. The next prime is 401361437. The reversal of 401361432 is 234163104.

It is a super-2 number, since 2×401361432² = 322181998194181248, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401361437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256669 + ... + 258227.

It is an arithmetic number, because the mean of its divisors is an integer number (16637400).

Almost surely, 2^401361432 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 401361432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532396800).

401361432 is an abundant number, since it is smaller than the sum of its proper divisors (663432168).

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

401361432 is a wasteful number, since it uses less digits than its factorization.

401361432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 401361432 is about 20034.0068882887. The cubic root of 401361432 is about 737.6412795317.

The spelling of 401361432 in words is "four hundred one million, three hundred sixty-one thousand, four hundred thirty-two".