360984000 has 336 divisors, whose sum is σ = 1305214560. Its totient is φ = 87859200.

The previous prime is 360983981. The next prime is 360984061. The reversal of 360984000 is 489063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4055956 + ... + 4056044.

Almost surely, 2^360984000 is an apocalyptic number.

360984000 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 360984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652607280).

360984000 is an abundant number, since it is smaller than the sum of its proper divisors (944230560).

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

360984000 is a wasteful number, since it uses less digits than its factorization.

360984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 360984000 is about 18999.5789427029. The cubic root of 360984000 is about 712.0262162632.

The spelling of 360984000 in words is "three hundred sixty million, nine hundred eighty-four thousand".