4763264 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 2027520.

The previous prime is 4763249. The next prime is 4763267. The reversal of 4763264 is 4623674.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4763264.

It is not an unprimeable number, because it can be changed into a prime (4763267) 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, 23837 + ... + 24035.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 2^4763264 is an apocalyptic number.

4763264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

4763264 is an abundant number, since it is smaller than the sum of its proper divisors (6252736).

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

4763264 is a wasteful number, since it uses less digits than its factorization.

4763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 24192, while the sum is 32.

The square root of 4763264 is about 2182.4903207116. The cubic root of 4763264 is about 168.2550924395.

The spelling of 4763264 in words is "four million, seven hundred sixty-three thousand, two hundred sixty-four".