380410920 has 192 divisors, whose sum is σ = 1293926400. Its totient is φ = 96814080.

The previous prime is 380410909. The next prime is 380410931. The reversal of 380410920 is 29014083.

It is an interprime number because it is at equal distance from previous prime (380410909) and next prime (380410931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993049 + ... + 993431.

It is an arithmetic number, because the mean of its divisors is an integer number (6739200).

Almost surely, 2^380410920 is an apocalyptic number.

380410920 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 380410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646963200).

380410920 is an abundant number, since it is smaller than the sum of its proper divisors (913515480).

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

380410920 is a wasteful number, since it uses less digits than its factorization.

380410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 380410920 is about 19504.1257173963. The cubic root of 380410920 is about 724.5766343129.

The spelling of 380410920 in words is "three hundred eighty million, four hundred ten thousand, nine hundred twenty".