365780480 has 160 divisors (see below), whose sum is σ = 979624800. Its totient is φ = 130056192.

The previous prime is 365780479. The next prime is 365780491. The reversal of 365780480 is 84087563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964931 + ... + 965309.

It is an arithmetic number, because the mean of its divisors is an integer number (6122655).

Almost surely, 2^365780480 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 365780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489812400).

365780480 is an abundant number, since it is smaller than the sum of its proper divisors (613844320).

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

365780480 is a wasteful number, since it uses less digits than its factorization.

365780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 365780480 is about 19125.3883620699. The cubic root of 365780480 is about 715.1659712183.

The spelling of 365780480 in words is "three hundred sixty-five million, seven hundred eighty thousand, four hundred eighty".