949490428320 has 576 divisors, whose sum is σ = 3869544389760. Its totient is φ = 216815284224.

The previous prime is 949490428297. The next prime is 949490428339. The reversal of 949490428320 is 23824094949.

949490428320 is a `hidden beast` number, since 9 + 494 + 90 + 42 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 350752407 + ... + 350755113.

It is an arithmetic number, because the mean of its divisors is an integer number (6717959010).

Almost surely, 2^949490428320 is an apocalyptic number.

949490428320 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 949490428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934772194880).

949490428320 is an abundant number, since it is smaller than the sum of its proper divisors (2920053961440).

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

949490428320 is a wasteful number, since it uses less digits than its factorization.

949490428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 949490428320 in words is "nine hundred forty-nine billion, four hundred ninety million, four hundred twenty-eight thousand, three hundred twenty".