380353520 has 40 divisors (see below), whose sum is σ = 889295760. Its totient is φ = 151285760.

The previous prime is 380353513. The next prime is 380353541. The reversal of 380353520 is 25353083.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1040 + ... + 27600.

It is an arithmetic number, because the mean of its divisors is an integer number (22232394).

Almost surely, 2^380353520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380353520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444647880).

380353520 is an abundant number, since it is smaller than the sum of its proper divisors (508942240).

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

380353520 is a wasteful number, since it uses less digits than its factorization.

380353520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26753 (or 26747 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 380353520 is about 19502.6541783420. The cubic root of 380353520 is about 724.5401888196.

The spelling of 380353520 in words is "three hundred eighty million, three hundred fifty-three thousand, five hundred twenty".