949974480 has 560 divisors, whose sum is σ = 4098487680. Its totient is φ = 199314432.

The previous prime is 949974479. The next prime is 949974499. The reversal of 949974480 is 84479949.

It is a happy number.

949974480 is a `hidden beast` number, since 9 + 4 + 99 + 74 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5307031 + ... + 5307209.

It is an arithmetic number, because the mean of its divisors is an integer number (7318728).

Almost surely, 2^949974480 is an apocalyptic number.

949974480 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 949974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049243840).

949974480 is an abundant number, since it is smaller than the sum of its proper divisors (3148513200).

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

949974480 is a wasteful number, since it uses less digits than its factorization.

949974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 949974480 is about 30821.6560229979. The cubic root of 949974480 is about 983.0387698253.

The spelling of 949974480 in words is "nine hundred forty-nine million, nine hundred seventy-four thousand, four hundred eighty".