401584 has 20 divisors (see below), whose sum is σ = 819640. Its totient is φ = 190080.

The previous prime is 401567. The next prime is 401587. The reversal of 401584 is 485104.

It is a super-2 number, since 2×401584² = 322539418112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 357 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (40982).

2⁴⁰¹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

401584 is an abundant number, since it is smaller than the sum of its proper divisors (418056).

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

401584 is a wasteful number, since it uses less digits than its factorization.

401584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 401584 is about 633.7065566964. The cubic root of 401584 is about 73.7777603049. Note that the first 4 decimals are identical.

Adding to 401584 its reverse (485104), we get a palindrome (886688).

The spelling of 401584 in words is "four hundred one thousand, five hundred eighty-four".