4719264 has 96 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 1382400.

The previous prime is 4719259. The next prime is 4719269. The reversal of 4719264 is 4629174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4719259) and next prime (4719269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4719269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43242 + ... + 43350.

It is an arithmetic number, because the mean of its divisors is an integer number (145530).

Almost surely, 2^4719264 is an apocalyptic number.

4719264 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 4719264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).

4719264 is an abundant number, since it is smaller than the sum of its proper divisors (9251616).

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

4719264 is a wasteful number, since it uses less digits than its factorization.

4719264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 4719264 is about 2172.3867059067. The cubic root of 4719264 is about 167.7354111734.

The spelling of 4719264 in words is "four million, seven hundred nineteen thousand, two hundred sixty-four".