918306480 has 320 divisors, whose sum is σ = 3689763840. Its totient is φ = 183472128.

The previous prime is 918306457. The next prime is 918306497. The reversal of 918306480 is 84603819.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413854 + ... + 416066.

It is an arithmetic number, because the mean of its divisors is an integer number (11530512).

Almost surely, 2^918306480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844881920).

918306480 is an abundant number, since it is smaller than the sum of its proper divisors (2771457360).

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

918306480 is a wasteful number, since it uses less digits than its factorization.

918306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 918306480 is about 30303.5720666723. The cubic root of 918306480 is about 971.9916848008.

The spelling of 918306480 in words is "nine hundred eighteen million, three hundred six thousand, four hundred eighty".