380887920 has 320 divisors, whose sum is σ = 1522759680. Its totient is φ = 86780160.

The previous prime is 380887919. The next prime is 380887951. The reversal of 380887920 is 29788083.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224565 + ... + 1224875.

It is an arithmetic number, because the mean of its divisors is an integer number (4758624).

Almost surely, 2^380887920 is an apocalyptic number.

380887920 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 380887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761379840).

380887920 is an abundant number, since it is smaller than the sum of its proper divisors (1141871760).

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

380887920 is an equidigital number, since it uses as much as digits as its factorization.

380887920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

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

The square root of 380887920 is about 19516.3500685963. The cubic root of 380887920 is about 724.8793584437.

The spelling of 380887920 in words is "three hundred eighty million, eight hundred eighty-seven thousand, nine hundred twenty".