363945580 has 48 divisors (see below), whose sum is σ = 792126720. Its totient is φ = 140313600.

The previous prime is 363945559. The next prime is 363945587. The reversal of 363945580 is 85549363.

It is a Smith number, since the sum of its digits (43) 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 (363945587) 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, 173176 + ... + 175264.

It is an arithmetic number, because the mean of its divisors is an integer number (16502640).

Almost surely, 2^363945580 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 363945580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396063360).

363945580 is an abundant number, since it is smaller than the sum of its proper divisors (428181140).

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

363945580 is a wasteful number, since it uses less digits than its factorization.

363945580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The square root of 363945580 is about 19077.3577835087. The cubic root of 363945580 is about 713.9681139268.

The spelling of 363945580 in words is "three hundred sixty-three million, nine hundred forty-five thousand, five hundred eighty".