360413280 has 192 divisors, whose sum is σ = 1328140800. Its totient is φ = 91031040.

The previous prime is 360413279. The next prime is 360413281. The reversal of 360413280 is 82314063.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (360413279) and next prime (360413281).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360413281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79885 + ... + 84275.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400).

Almost surely, 2^360413280 is an apocalyptic number.

360413280 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 360413280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

360413280 is an abundant number, since it is smaller than the sum of its proper divisors (967727520).

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

360413280 is a wasteful number, since it uses less digits than its factorization.

360413280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 360413280 is about 18984.5537213810. The cubic root of 360413280 is about 711.6507776954.

The spelling of 360413280 in words is "three hundred sixty million, four hundred thirteen thousand, two hundred eighty".