4000264 has 16 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 1957392.

The previous prime is 4000261. The next prime is 4000267. The reversal of 4000264 is 4620004.

It is an interprime number because it is at equal distance from previous prime (4000261) and next prime (4000267).

It is a super-2 number, since 2×4000264² = 32004224139392, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4000261) 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, 4944 + ... + 5695.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 2^4000264 is an apocalyptic number.

It is an amenable number.

4000264 is a deficient number, since it is larger than the sum of its proper divisors (3660536).

4000264 is a wasteful number, since it uses less digits than its factorization.

4000264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10692 (or 10688 counting only the distinct ones).

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

The square root of 4000264 is about 2000.0659989110. The cubic root of 4000264 is about 158.7435974023.

Adding to 4000264 its reverse (4620004), we get a palindrome (8620268).

The spelling of 4000264 in words is "four million, two hundred sixty-four", and thus it is an aban number.