380893200 has 60 divisors (see below), whose sum is σ = 1220131728. Its totient is φ = 101571200.

The previous prime is 380893189. The next prime is 380893231. The reversal of 380893200 is 2398083.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×380893200³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157506 + ... + 159905.

Almost surely, 2^380893200 is an apocalyptic number.

380893200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380893200 is an abundant number, since it is smaller than the sum of its proper divisors (839238528).

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

380893200 is a wasteful number, since it uses less digits than its factorization.

380893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317432 (or 317421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 380893200 is about 19516.4853393228. The cubic root of 380893200 is about 724.8827079377.

The spelling of 380893200 in words is "three hundred eighty million, eight hundred ninety-three thousand, two hundred".