381516880 has 20 divisors (see below), whose sum is σ = 887026932. Its totient is φ = 152606720.

The previous prime is 381516869. The next prime is 381516899. The reversal of 381516880 is 88615183.

It can be written as a sum of positive squares in 2 ways, for example, as 240002064 + 141514816 = 15492^2 + 11896^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2384401 + ... + 2384560.

Almost surely, 2^381516880 is an apocalyptic number.

It is an amenable number.

381516880 is an abundant number, since it is smaller than the sum of its proper divisors (505510052).

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

381516880 is a wasteful number, since it uses less digits than its factorization.

381516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768974 (or 4768968 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 381516880 is about 19532.4570906991. The cubic root of 381516880 is about 725.2781366440.

The spelling of 381516880 in words is "three hundred eighty-one million, five hundred sixteen thousand, eight hundred eighty".