380481600 has 168 divisors, whose sum is σ = 1289068288. Its totient is φ = 98150400.

The previous prime is 380481581. The next prime is 380481601. The reversal of 380481600 is 6184083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (380481601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147522 + ... + 150078.

Almost surely, 2^380481600 is an apocalyptic number.

380481600 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 380481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644534144).

380481600 is an abundant number, since it is smaller than the sum of its proper divisors (908586688).

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

380481600 is a wasteful number, since it uses less digits than its factorization.

380481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 380481600 is about 19505.9375575746. The cubic root of 380481600 is about 724.6215067586.

The spelling of 380481600 in words is "three hundred eighty million, four hundred eighty-one thousand, six hundred".