752482900 has 144 divisors (see below), whose sum is σ = 1889879040. Its totient is φ = 257587200.

The previous prime is 752482847. The next prime is 752482903. The reversal of 752482900 is 9284257.

It is a self number, because there is not a number n which added to its sum of digits gives 752482900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752482903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1745685 + ... + 1746115.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^752482900 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 752482900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

752482900 is an abundant number, since it is smaller than the sum of its proper divisors (1137396140).

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

752482900 is a wasteful number, since it uses less digits than its factorization.

752482900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 752482900 is about 27431.4217641011. The cubic root of 752482900 is about 909.5617984414.

The spelling of 752482900 in words is "seven hundred fifty-two million, four hundred eighty-two thousand, nine hundred".