481972491 has 128 divisors (see below), whose sum is σ = 1016064000. Its totient is φ = 217313280.

The previous prime is 481972481. The next prime is 481972511. The reversal of 481972491 is 194279184.

It is a happy number.

It is not a de Polignac number, because 481972491 - 2⁶ = 481972427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481972441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 458935 + ... + 459983.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^481972491 is an apocalyptic number.

481972491 is an abundant number, since it is smaller than the sum of its proper divisors (534091509).

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

481972491 is a wasteful number, since it uses less digits than its factorization.

481972491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 481972491 is about 21953.8718908533. The cubic root of 481972491 is about 784.0445681965.

The spelling of 481972491 in words is "four hundred eighty-one million, nine hundred seventy-two thousand, four hundred ninety-one".