382877280 has 240 divisors, whose sum is σ = 1396289664. Its totient is φ = 98703360.

The previous prime is 382877269. The next prime is 382877291. The reversal of 382877280 is 82778283.

It is an interprime number because it is at equal distance from previous prime (382877269) and next prime (382877291).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 401284 + ... + 402236.

Almost surely, 2^382877280 is an apocalyptic number.

382877280 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 382877280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698144832).

382877280 is an abundant number, since it is smaller than the sum of its proper divisors (1013412384).

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

382877280 is a wasteful number, since it uses less digits than its factorization.

382877280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 382877280 is about 19567.2501900497. The cubic root of 382877280 is about 726.1391714619.

The spelling of 382877280 in words is "three hundred eighty-two million, eight hundred seventy-seven thousand, two hundred eighty".