949505403960 has 384 divisors, whose sum is σ = 3176096002560. Its totient is φ = 245921356800.

The previous prime is 949505403943. The next prime is 949505403961. The reversal of 949505403960 is 69304505949.

949505403960 is a `hidden beast` number, since 9 + 4 + 9 + 5 + 0 + 540 + 3 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 949505403897 and 949505403906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949505403961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153712109 + ... + 1153712931.

It is an arithmetic number, because the mean of its divisors is an integer number (8271083340).

Almost surely, 2^949505403960 is an apocalyptic number.

949505403960 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 949505403960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588048001280).

949505403960 is an abundant number, since it is smaller than the sum of its proper divisors (2226590598600).

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

949505403960 is a wasteful number, since it uses less digits than its factorization.

949505403960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 949505403960 in words is "nine hundred forty-nine billion, five hundred five million, four hundred three thousand, nine hundred sixty".