369384480 has 72 divisors (see below), whose sum is σ = 1260529452. Its totient is φ = 98502144.

The previous prime is 369384479. The next prime is 369384481. The reversal of 369384480 is 84483963.

369384480 is a `hidden beast` number, since 3 + 6 + 93 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (369384479) and next prime (369384481).

It can be written as a sum of positive squares in 2 ways, for example, as 349989264 + 19395216 = 18708^2 + 4404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (369384481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126819 + ... + 129698.

Almost surely, 2^369384480 is an apocalyptic number.

369384480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

369384480 is an abundant number, since it is smaller than the sum of its proper divisors (891144972).

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

369384480 is a wasteful number, since it uses less digits than its factorization.

369384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256538 (or 256527 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 369384480 is about 19219.3777214560. The cubic root of 369384480 is about 717.5071195172.

The spelling of 369384480 in words is "three hundred sixty-nine million, three hundred eighty-four thousand, four hundred eighty".