363465816 has 128 divisors (see below), whose sum is σ = 1092787200. Its totient is φ = 98542080.

The previous prime is 363465811. The next prime is 363465847. The reversal of 363465816 is 618564363.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363465811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296581 + ... + 297803.

It is an arithmetic number, because the mean of its divisors is an integer number (8537400).

Almost surely, 2^363465816 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 363465816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

363465816 is an abundant number, since it is smaller than the sum of its proper divisors (729321384).

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

363465816 is a wasteful number, since it uses less digits than its factorization.

363465816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 363465816 is about 19064.7794637127. The cubic root of 363465816 is about 713.6542512312.

The spelling of 363465816 in words is "three hundred sixty-three million, four hundred sixty-five thousand, eight hundred sixteen".