380207256 has 128 divisors (see below), whose sum is σ = 1126137600. Its totient is φ = 105454080.

The previous prime is 380207249. The next prime is 380207263. The reversal of 380207256 is 652702083.

It is an interprime number because it is at equal distance from previous prime (380207249) and next prime (380207263).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476650 + ... + 477446.

It is an arithmetic number, because the mean of its divisors is an integer number (8797950).

Almost surely, 2^380207256 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 380207256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563068800).

380207256 is an abundant number, since it is smaller than the sum of its proper divisors (745930344).

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

380207256 is a wasteful number, since it uses less digits than its factorization.

380207256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 380207256 is about 19498.9039691979. The cubic root of 380207256 is about 724.4473035366.

The spelling of 380207256 in words is "three hundred eighty million, two hundred seven thousand, two hundred fifty-six".