401264 has 20 divisors (see below), whose sum is σ = 803520. Its totient is φ = 193920.

The previous prime is 401243. The next prime is 401279. The reversal of 401264 is 462104.

401264 is an admirable number.

It is a super-2 number, since 2×401264² = 322025595392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

401264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2⁴⁰¹²⁶⁴ 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 401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

401264 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

401264 is a wasteful number, since it uses less digits than its factorization.

401264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 401264 is about 633.4540235881. The cubic root of 401264 is about 73.7581586301.

Adding to 401264 its reverse (462104), we get a palindrome (863368).

The spelling of 401264 in words is "four hundred one thousand, two hundred sixty-four".