378465516 has 72 divisors (see below), whose sum is σ = 1123943184. Its totient is φ = 105863040.

The previous prime is 378465511. The next prime is 378465517. The reversal of 378465516 is 615564873.

378465516 is a `hidden beast` number, since 3 + 78 + 4 + 65 + 516 = 666.

It is a super-2 number, since 2×378465516² = 286472293602292512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (378465511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31611 + ... + 41906.

It is an arithmetic number, because the mean of its divisors is an integer number (15610322).

Almost surely, 2^378465516 is an apocalyptic number.

378465516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378465516 is an abundant number, since it is smaller than the sum of its proper divisors (745477668).

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

378465516 is a wasteful number, since it uses less digits than its factorization.

378465516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73551 (or 73546 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 378465516 is about 19454.1901913187. The cubic root of 378465516 is about 723.3393722493.

The spelling of 378465516 in words is "three hundred seventy-eight million, four hundred sixty-five thousand, five hundred sixteen".