381085480 has 64 divisors (see below), whose sum is σ = 889574400. Its totient is φ = 146772480.

The previous prime is 381085429. The next prime is 381085487. The reversal of 381085480 is 84580183.

It is a super-2 number, since 2×381085480² = 290452286133660800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (381085487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288261 + ... + 289579.

It is an arithmetic number, because the mean of its divisors is an integer number (13899600).

Almost surely, 2^381085480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381085480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444787200).

381085480 is an abundant number, since it is smaller than the sum of its proper divisors (508488920).

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

381085480 is a wasteful number, since it uses less digits than its factorization.

381085480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 381085480 is about 19521.4108096725. The cubic root of 381085480 is about 725.0046642585.

The spelling of 381085480 in words is "three hundred eighty-one million, eighty-five thousand, four hundred eighty".