380824752 has 480 divisors, whose sum is σ = 1424908800. Its totient is φ = 85155840.

The previous prime is 380824711. The next prime is 380824783. The reversal of 380824752 is 257428083.

It is a self number, because there is not a number n which added to its sum of digits gives 380824752.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13131874 + ... + 13131902.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^380824752 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 380824752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

380824752 is an abundant number, since it is smaller than the sum of its proper divisors (1044084048).

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

380824752 is a wasteful number, since it uses less digits than its factorization.

380824752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 380824752 is about 19514.7316661029. The cubic root of 380824752 is about 724.8392839157.

The spelling of 380824752 in words is "three hundred eighty million, eight hundred twenty-four thousand, seven hundred fifty-two".