4905264 has 80 divisors (see below), whose sum is σ = 15610112. Its totient is φ = 1292544.

The previous prime is 4905259. The next prime is 4905269. The reversal of 4905264 is 4625094.

It is an interprime number because it is at equal distance from previous prime (4905259) and next prime (4905269).

It is a super-2 number, since 2×4905264² = 48123229819392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4905269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3807 + ... + 4929.

Almost surely, 2^4905264 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 4905264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805056).

4905264 is an abundant number, since it is smaller than the sum of its proper divisors (10704848).

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

4905264 is a wasteful number, since it uses less digits than its factorization.

4905264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4905264 is about 2214.7830593537. The cubic root of 4905264 is about 169.9107259064.

The spelling of 4905264 in words is "four million, nine hundred five thousand, two hundred sixty-four".