380459520 has 360 divisors, whose sum is σ = 1537311204. Its totient is φ = 86704128.

The previous prime is 380459503. The next prime is 380459531. The reversal of 380459520 is 25954083.

380459520 is a `hidden beast` number, since 3 + 80 + 4 + 59 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 366799104 + 13660416 = 19152^2 + 3696^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128792 + ... + 1129128.

Almost surely, 2^380459520 is an apocalyptic number.

380459520 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 380459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768655602).

380459520 is an abundant number, since it is smaller than the sum of its proper divisors (1156851684).

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

380459520 is a wasteful number, since it uses less digits than its factorization.

380459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 380459520 is about 19505.3715678528. The cubic root of 380459520 is about 724.6074894777.

The spelling of 380459520 in words is "three hundred eighty million, four hundred fifty-nine thousand, five hundred twenty".