369240480 has 216 divisors, whose sum is σ = 1466032932. Its totient is φ = 84381696.

The previous prime is 369240479. The next prime is 369240517. The reversal of 369240480 is 84042963.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 350887824 + 18352656 = 18732^2 + 4284^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67944 + ... + 73176.

Almost surely, 2^369240480 is an apocalyptic number.

369240480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733016466).

369240480 is an abundant number, since it is smaller than the sum of its proper divisors (1096792452).

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

369240480 is a wasteful number, since it uses less digits than its factorization.

369240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 369240480 is about 19215.6311371758. The cubic root of 369240480 is about 717.4138702879.

The spelling of 369240480 in words is "three hundred sixty-nine million, two hundred forty thousand, four hundred eighty".