752438385 has 24 divisors (see below), whose sum is σ = 1317147624. Its totient is φ = 397324800.

The previous prime is 752438383. The next prime is 752438413. The reversal of 752438385 is 583834257.

752438385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121022001 + 631416384 = 11001^2 + 25128^2 .

It is not a de Polignac number, because 752438385 - 2¹ = 752438383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 752438385.

It is not an unprimeable number, because it can be changed into a prime (752438383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78232 + ... + 87321.

It is an arithmetic number, because the mean of its divisors is an integer number (54881151).

Almost surely, 2^752438385 is an apocalyptic number.

It is an amenable number.

752438385 is a deficient number, since it is larger than the sum of its proper divisors (564709239).

752438385 is a wasteful number, since it uses less digits than its factorization.

752438385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165665 (or 165662 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 752438385 is about 27430.6103650648. The cubic root of 752438385 is about 909.5438622899.

The spelling of 752438385 in words is "seven hundred fifty-two million, four hundred thirty-eight thousand, three hundred eighty-five".