401436 has 72 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 112752.

The previous prime is 401417. The next prime is 401473. The reversal of 401436 is 634104.

It is a super-2 number, since 2×401436² = 322301724192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6775 + ... + 6833.

2⁴⁰¹⁴³⁶ 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 401436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

401436 is an abundant number, since it is smaller than the sum of its proper divisors (821604).

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

401436 is a wasteful number, since it uses less digits than its factorization.

401436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 401436 is about 633.5897726447. The cubic root of 401436 is about 73.7686958251.

The spelling of 401436 in words is "four hundred one thousand, four hundred thirty-six".