947903040 has 336 divisors, whose sum is σ = 3891686400. Its totient is φ = 216566784.

The previous prime is 947902999. The next prime is 947903059. The reversal of 947903040 is 40309749.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 947902986 and 947903004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422241 + ... + 424479.

It is an arithmetic number, because the mean of its divisors is an integer number (11582400).

Almost surely, 2^947903040 is an apocalyptic number.

947903040 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 947903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945843200).

947903040 is an abundant number, since it is smaller than the sum of its proper divisors (2943783360).

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

947903040 is a wasteful number, since it uses less digits than its factorization.

947903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 947903040 is about 30788.0340392172. The cubic root of 947903040 is about 982.3237373911.

The spelling of 947903040 in words is "nine hundred forty-seven million, nine hundred three thousand, forty".