949932989460 has 1296 divisors, whose sum is σ = 3847195327248. Its totient is φ = 187907973120.

The previous prime is 949932989419. The next prime is 949932989461. The reversal of 949932989460 is 64989239949.

949932989460 is a `hidden beast` number, since 9 + 49 + 9 + 32 + 98 + 9 + 460 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36631663236 + 913301326224 = 191394^2 + 955668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949932989461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4076965504 + ... + 4076965736.

It is an arithmetic number, because the mean of its divisors is an integer number (2968514913).

Almost surely, 2^949932989460 is an apocalyptic number.

949932989460 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 949932989460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923597663624).

949932989460 is an abundant number, since it is smaller than the sum of its proper divisors (2897262337788).

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

949932989460 is a wasteful number, since it uses less digits than its factorization.

949932989460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 949932989460 in words is "nine hundred forty-nine billion, nine hundred thirty-two million, nine hundred eighty-nine thousand, four hundred sixty".