4752359424 has 150 divisors (see below), whose sum is σ = 14201938674. Its totient is φ = 1583677440.

The previous prime is 4752359393. The next prime is 4752359449. The reversal of 4752359424 is 4249532574.

4752359424 is a `hidden beast` number, since 4 + 7 + 52 + 3 + 594 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4619649024 + 132710400 = 67968^2 + 11520^2 .

It is a super-2 number, since 2×4752359424² = 45169840189763223552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4752359424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1325314 + ... + 1328894.

Almost surely, 2^4752359424 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 4752359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100969337).

4752359424 is an abundant number, since it is smaller than the sum of its proper divisors (9449579250).

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

4752359424 is an frugal number, since it uses more digits than its factorization.

4752359424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3586 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 4752359424 is about 68937.3586961380. The cubic root of 4752359424 is about 1681.2659845378.

The spelling of 4752359424 in words is "four billion, seven hundred fifty-two million, three hundred fifty-nine thousand, four hundred twenty-four".