4630752 has 72 divisors (see below), whose sum is σ = 15056496. Its totient is φ = 1322496.

The previous prime is 4630723. The next prime is 4630753. The reversal of 4630752 is 2570364.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868 + ... + 3164.

It is an arithmetic number, because the mean of its divisors is an integer number (209118).

Almost surely, 2^4630752 is an apocalyptic number.

4630752 is a gapful number since it is divisible by the number (42) 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 4630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528248).

4630752 is an abundant number, since it is smaller than the sum of its proper divisors (10425744).

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

4630752 is a wasteful number, since it uses less digits than its factorization.

4630752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4630752 is about 2151.9182140593. The cubic root of 4630752 is about 166.6801340229.

The spelling of 4630752 in words is "four million, six hundred thirty thousand, seven hundred fifty-two".