914316480 has 1008 divisors, whose sum is σ = 4336450560. Its totient is φ = 174182400.

The previous prime is 914316479. The next prime is 914316503. The reversal of 914316480 is 84613419.

914316480 is a `hidden beast` number, since 9 + 1 + 4 + 3 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 143 ways as a sum of consecutive naturals, for example, 29494065 + ... + 29494095.

Almost surely, 2^914316480 is an apocalyptic number.

914316480 is a gapful number since it is divisible by the number (90) 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 914316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168225280).

914316480 is an abundant number, since it is smaller than the sum of its proper divisors (3422134080).

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

914316480 is a wasteful number, since it uses less digits than its factorization.

914316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 914316480 is about 30237.6665766391. Note that the first 3 decimals coincide. The cubic root of 914316480 is about 970.5818877303.

Adding to 914316480 its reverse (84613419), we get a palindrome (998929899).

The spelling of 914316480 in words is "nine hundred fourteen million, three hundred sixteen thousand, four hundred eighty".