482251968 has 168 divisors, whose sum is σ = 1564355520. Its totient is φ = 146085120.

The previous prime is 482251961. The next prime is 482251981. The reversal of 482251968 is 869152284.

It is a super-3 number, since 3×482251968³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (482251961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169663 + ... + 172481.

It is an arithmetic number, because the mean of its divisors is an integer number (9311640).

Almost surely, 2^482251968 is an apocalyptic number.

482251968 is a gapful number since it is divisible by the number (48) 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 482251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782177760).

482251968 is an abundant number, since it is smaller than the sum of its proper divisors (1082103552).

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

482251968 is a wasteful number, since it uses less digits than its factorization.

482251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2835 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 482251968 is about 21960.2360643050. The cubic root of 482251968 is about 784.1960845091.

The spelling of 482251968 in words is "four hundred eighty-two million, two hundred fifty-one thousand, nine hundred sixty-eight".