481591950 has 192 divisors, whose sum is σ = 1420004352. Its totient is φ = 105753600.

The previous prime is 481591933. The next prime is 481591969. The reversal of 481591950 is 59195184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4675599 + ... + 4675701.

It is an arithmetic number, because the mean of its divisors is an integer number (7395856).

Almost surely, 2^481591950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481591950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710002176).

481591950 is an abundant number, since it is smaller than the sum of its proper divisors (938412402).

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

481591950 is a wasteful number, since it uses less digits than its factorization.

481591950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 481591950 is about 21945.2033483402. The cubic root of 481591950 is about 783.8381666088.

The spelling of 481591950 in words is "four hundred eighty-one million, five hundred ninety-one thousand, nine hundred fifty".