381517020 has 96 divisors (see below), whose sum is σ = 1193875200. Its totient is φ = 101143872.

The previous prime is 381516983. The next prime is 381517021. The reversal of 381517020 is 20715183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381517021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94687 + ... + 98633.

It is an arithmetic number, because the mean of its divisors is an integer number (12436200).

Almost surely, 2^381517020 is an apocalyptic number.

381517020 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 381517020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596937600).

381517020 is an abundant number, since it is smaller than the sum of its proper divisors (812358180).

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

381517020 is a wasteful number, since it uses less digits than its factorization.

381517020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 381517020 is about 19532.4606744772. The cubic root of 381517020 is about 725.2782253591.

The spelling of 381517020 in words is "three hundred eighty-one million, five hundred seventeen thousand, twenty".