361464384 has 56 divisors (see below), whose sum is σ = 958921120. Its totient is φ = 120167424.

The previous prime is 361464377. The next prime is 361464401. The reversal of 361464384 is 483464163.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76227 + ... + 80829.

Almost surely, 2^361464384 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 361464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479460560).

361464384 is an abundant number, since it is smaller than the sum of its proper divisors (597456736).

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

361464384 is a wasteful number, since it uses less digits than its factorization.

361464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5017 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 361464384 is about 19012.2167040038. The cubic root of 361464384 is about 712.3419222101.

The spelling of 361464384 in words is "three hundred sixty-one million, four hundred sixty-four thousand, three hundred eighty-four".