4460001264 has 100 divisors (see below), whose sum is σ = 12945091104. Its totient is φ = 1482458112.

The previous prime is 4460001253. The next prime is 4460001269. The reversal of 4460001264 is 4621000644.

4460001264 is a `hidden beast` number, since 44 + 600 + 0 + 12 + 6 + 4 = 666.

It is a super-2 number, since 2×4460001264² = 39783222549763195392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4460001269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 470944 + ... + 480320.

Almost surely, 2^4460001264 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 4460001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472545552).

4460001264 is an abundant number, since it is smaller than the sum of its proper divisors (8485089840).

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

4460001264 is a wasteful number, since it uses less digits than its factorization.

4460001264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4460001264 is about 66783.2408917088. The cubic root of 4460001264 is about 1646.0574698178.

The spelling of 4460001264 in words is "four billion, four hundred sixty million, one thousand, two hundred sixty-four".