947958480 has 240 divisors, whose sum is σ = 3669479424. Its totient is φ = 214824960.

The previous prime is 947958457. The next prime is 947958481. The reversal of 947958480 is 84859749.

947958480 is a `hidden beast` number, since 94 + 79 + 5 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947958481) by changing a digit.

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, 639340 + ... + 640820.

Almost surely, 2^947958480 is an apocalyptic number.

947958480 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 947958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834739712).

947958480 is an abundant number, since it is smaller than the sum of its proper divisors (2721520944).

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

947958480 is a wasteful number, since it uses less digits than its factorization.

947958480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 947958480 is about 30788.9343758435. The cubic root of 947958480 is about 982.3428880722.

The spelling of 947958480 in words is "nine hundred forty-seven million, nine hundred fifty-eight thousand, four hundred eighty".