947314464 has 96 divisors (see below), whose sum is σ = 2707992000. Its totient is φ = 288820224.

The previous prime is 947314457. The next prime is 947314499. The reversal of 947314464 is 464413749.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×947314464³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43942 + ... + 61850.

It is an arithmetic number, because the mean of its divisors is an integer number (28208250).

Almost surely, 2^947314464 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 947314464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353996000).

947314464 is an abundant number, since it is smaller than the sum of its proper divisors (1760677536).

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

947314464 is a wasteful number, since it uses less digits than its factorization.

947314464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17962 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 947314464 is about 30778.4740362481. The cubic root of 947314464 is about 982.1203790799.

The spelling of 947314464 in words is "nine hundred forty-seven million, three hundred fourteen thousand, four hundred sixty-four".