380250720 has 384 divisors, whose sum is σ = 1437004800. Its totient is φ = 93671424.

The previous prime is 380250701. The next prime is 380250721. The reversal of 380250720 is 27052083.

It is a super-2 number, since 2×380250720² = 289181220121036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380250721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4272436 + ... + 4272524.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^380250720 is an apocalyptic number.

380250720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

380250720 is an abundant number, since it is smaller than the sum of its proper divisors (1056754080).

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

380250720 is a wasteful number, since it uses less digits than its factorization.

380250720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 380250720 is about 19500.0184615297. The cubic root of 380250720 is about 724.4749079351.

The spelling of 380250720 in words is "three hundred eighty million, two hundred fifty thousand, seven hundred twenty".