380627280 has 360 divisors, whose sum is σ = 1493482536. Its totient is φ = 86507520.

The previous prime is 380627267. The next prime is 380627281. The reversal of 380627280 is 82726083.

It is a happy number.

380627280 is a `hidden beast` number, since 3 + 8 + 0 + 627 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195776064 + 184851216 = 13992^2 + 13596^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380627281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1480912 + ... + 1481168.

Almost surely, 2^380627280 is an apocalyptic number.

380627280 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 380627280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746741268).

380627280 is an abundant number, since it is smaller than the sum of its proper divisors (1112855256).

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

380627280 is a wasteful number, since it uses less digits than its factorization.

380627280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 380627280 is about 19509.6714477717. The cubic root of 380627280 is about 724.7139767503.

The spelling of 380627280 in words is "three hundred eighty million, six hundred twenty-seven thousand, two hundred eighty".