934116480 has 384 divisors, whose sum is σ = 3677581440. Its totient is φ = 216268800.

The previous prime is 934116473. The next prime is 934116481. The reversal of 934116480 is 84611439.

934116480 is a `hidden beast` number, since 9 + 3 + 4 + 1 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (934116481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456960 + ... + 1457600.

It is an arithmetic number, because the mean of its divisors is an integer number (9577035).

Almost surely, 2^934116480 is an apocalyptic number.

934116480 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 934116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838790720).

934116480 is an abundant number, since it is smaller than the sum of its proper divisors (2743464960).

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

934116480 is a wasteful number, since it uses less digits than its factorization.

934116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 685 counting only the distinct ones).

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

The square root of 934116480 is about 30563.3191914753. The cubic root of 934116480 is about 977.5380658162.

The spelling of 934116480 in words is "nine hundred thirty-four million, one hundred sixteen thousand, four hundred eighty".