380280900 has 72 divisors (see below), whose sum is σ = 1104130720. Its totient is φ = 101053440.

The previous prime is 380280881. The next prime is 380280907. The reversal of 380280900 is 9082083.

It is a super-2 number, since 2×380280900² = 289227125809620000, which contains 22 as substring.

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 (380280907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90036 + ... + 94164.

Almost surely, 2^380280900 is an apocalyptic number.

380280900 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 380280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552065360).

380280900 is an abundant number, since it is smaller than the sum of its proper divisors (723849820).

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

380280900 is a wasteful number, since it uses less digits than its factorization.

380280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 380280900 is about 19500.7922915968. The cubic root of 380280900 is about 724.4940743019.

The spelling of 380280900 in words is "three hundred eighty million, two hundred eighty thousand, nine hundred".