4624004264 has 32 divisors (see below), whose sum is σ = 9466532640. Its totient is φ = 2099966400.

The previous prime is 4624004207. The next prime is 4624004309.

4624004264 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4624004264.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79754 + ... + 124934.

It is an arithmetic number, because the mean of its divisors is an integer number (295829145).

Almost surely, 2^4624004264 is an apocalyptic number.

4624004264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4624004264 is an abundant number, since it is smaller than the sum of its proper divisors (4842528376).

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

4624004264 is a wasteful number, since it uses less digits than its factorization.

4624004264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46361 (or 46357 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4624004264 is about 68000.0313529339. The cubic root of 4624004264 is about 1665.9913491959.

It can be divided in two parts, 462400 and 4264, that added together give a palindrome (466664).

The spelling of 4624004264 in words is "four billion, six hundred twenty-four million, four thousand, two hundred sixty-four".