481974768 has 120 divisors (see below), whose sum is σ = 1482891696. Its totient is φ = 144921600.

The previous prime is 481974761. The next prime is 481974781. The reversal of 481974768 is 867479184.

It is a happy number.

481974768 is a `hidden beast` number, since 4 + 81 + 97 + 476 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481974761) 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, 215898 + ... + 218118.

Almost surely, 2^481974768 is an apocalyptic number.

481974768 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 481974768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741445848).

481974768 is an abundant number, since it is smaller than the sum of its proper divisors (1000916928).

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

481974768 is a wasteful number, since it uses less digits than its factorization.

481974768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2374 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 481974768 is about 21953.9237495260. The cubic root of 481974768 is about 784.0458028912.

The spelling of 481974768 in words is "four hundred eighty-one million, nine hundred seventy-four thousand, seven hundred sixty-eight".