401634 has 24 divisors (see below), whose sum is σ = 888732. Its totient is φ = 131040.

The previous prime is 401629. The next prime is 401651. The reversal of 401634 is 436104.

401634 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 378225 + 23409 = 615^2 + 153^2 .

It is a super-2 number, since 2×401634² = 322619739912, which contains 22 as substring.

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

It is a Curzon number.

It is a nialpdrome in base 14.

It is an unprimeable number.

401634 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 744 + ... + 1164.

2⁴⁰¹⁶³⁴ is an apocalyptic number.

401634 is an abundant number, since it is smaller than the sum of its proper divisors (487098).

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

401634 is a wasteful number, since it uses less digits than its factorization.

401634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

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

The square root of 401634 is about 633.7460059046. The cubic root of 401634 is about 73.7808221259.

Adding to 401634 its reverse (436104), we get a palindrome (837738).

It can be divided in two parts, 401 and 634, that added together give a triangular number (1035 = T₄₅).

The spelling of 401634 in words is "four hundred one thousand, six hundred thirty-four".