4801264 has 40 divisors (see below), whose sum is σ = 10280592. Its totient is φ = 2158080.

The previous prime is 4801253. The next prime is 4801267. The reversal of 4801264 is 4621084.

4801264 = 322² + 323² + ... + 362².

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8247 + ... + 8809.

Almost surely, 2^4801264 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 4801264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140296).

4801264 is an abundant number, since it is smaller than the sum of its proper divisors (5479328).

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

4801264 is a wasteful number, since it uses less digits than its factorization.

4801264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4801264 is about 2191.1786782460. The cubic root of 4801264 is about 168.7013386898.

The spelling of 4801264 in words is "four million, eight hundred one thousand, two hundred sixty-four".