380897280 has 144 divisors (see below), whose sum is σ = 1320440940. Its totient is φ = 101548032.

The previous prime is 380897249. The next prime is 380897327. The reversal of 380897280 is 82798083.

It can be written as a sum of positive squares in 2 ways, for example, as 379782144 + 1115136 = 19488^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×380897280² = 290165475822796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 90094 + ... + 94226.

Almost surely, 2^380897280 is an apocalyptic number.

380897280 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 380897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660220470).

380897280 is an abundant number, since it is smaller than the sum of its proper divisors (939543660).

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

380897280 is a wasteful number, since it uses less digits than its factorization.

380897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 380897280 is about 19516.5898660601. The cubic root of 380897280 is about 724.8852961618.

It can be divided in two parts, 38089 and 7280, that added together give a square (45369 = 213²).

The spelling of 380897280 in words is "three hundred eighty million, eight hundred ninety-seven thousand, two hundred eighty".