365724480 has 224 divisors, whose sum is σ = 1290401280. Its totient is φ = 87009280.

The previous prime is 365724461. The next prime is 365724487. The reversal of 365724480 is 84427563.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365724487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622747 + ... + 623333.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2^365724480 is an apocalyptic number.

365724480 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 365724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645200640).

365724480 is an abundant number, since it is smaller than the sum of its proper divisors (924676800).

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

365724480 is a wasteful number, since it uses less digits than its factorization.

365724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 365724480 is about 19123.9242834728. The cubic root of 365724480 is about 715.1294726985.

The spelling of 365724480 in words is "three hundred sixty-five million, seven hundred twenty-four thousand, four hundred eighty".