478861950 has 192 divisors, whose sum is σ = 1454906880. Its totient is φ = 101744640.

The previous prime is 478861879. The next prime is 478861951. The reversal of 478861950 is 59168874.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 478861950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478861951) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2481054 + ... + 2481246.

It is an arithmetic number, because the mean of its divisors is an integer number (7577640).

Almost surely, 2^478861950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478861950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727453440).

478861950 is an abundant number, since it is smaller than the sum of its proper divisors (976044930).

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

478861950 is a wasteful number, since it uses less digits than its factorization.

478861950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 478861950 is about 21882.9145682197. The cubic root of 478861950 is about 782.3542447816.

The spelling of 478861950 in words is "four hundred seventy-eight million, eight hundred sixty-one thousand, nine hundred fifty".