40002264 has 48 divisors (see below), whose sum is σ = 110653920. Its totient is φ = 13049280.

The previous prime is 40002257. The next prime is 40002269. The reversal of 40002264 is 46220004.

40002264 is a `hidden beast` number, since 400 + 0 + 2 + 264 = 666.

It is a super-2 number, since 2×40002264² = 3200362250251392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2527 + ... + 9294.

It is an arithmetic number, because the mean of its divisors is an integer number (2305290).

Almost surely, 2^40002264 is an apocalyptic number.

It is an amenable number.

40002264 is an abundant number, since it is smaller than the sum of its proper divisors (70651656).

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

40002264 is a wasteful number, since it uses less digits than its factorization.

40002264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40002264 is about 6324.7343027198. The cubic root of 40002264 is about 342.0016415228.

Adding to 40002264 its reverse (46220004), we get a palindrome (86222268).

The spelling of 40002264 in words is "forty million, two thousand, two hundred sixty-four".