380453760 has 320 divisors, whose sum is σ = 1399582800. Its totient is φ = 98426880.

The previous prime is 380453743. The next prime is 380453797. The reversal of 380453760 is 67354083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2125351 + ... + 2125529.

Almost surely, 2^380453760 is an apocalyptic number.

380453760 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 380453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699791400).

380453760 is an abundant number, since it is smaller than the sum of its proper divisors (1019129040).

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

380453760 is a wasteful number, since it uses less digits than its factorization.

380453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 380453760 is about 19505.2239156591. The cubic root of 380453760 is about 724.6038327065.

The spelling of 380453760 in words is "three hundred eighty million, four hundred fifty-three thousand, seven hundred sixty".