400264 has 8 divisors (see below), whose sum is σ = 750510. Its totient is φ = 200128.

The previous prime is 400261. The next prime is 400277. The reversal of 400264 is 462004.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 3364 = 630^2 + 58^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×400264² = 320422539392, which contains 22 as substring.

400264 is a modest number, since divided by 264 gives 40 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25009 + ... + 25024.

2⁴⁰⁰²⁶⁴ is an apocalyptic number.

It is an amenable number.

400264 is a deficient number, since it is larger than the sum of its proper divisors (350246).

400264 is a wasteful number, since it uses less digits than its factorization.

400264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50039 (or 50035 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400264 is about 632.6642079334. The cubic root of 400264 is about 73.6968361466.

Adding to 400264 its reverse (462004), we get a palindrome (862268).

The spelling of 400264 in words is "four hundred thousand, two hundred sixty-four".