462724488 has 192 divisors, whose sum is σ = 1383782400. Its totient is φ = 144555840.

The previous prime is 462724481. The next prime is 462724501. The reversal of 462724488 is 884427264.

462724488 is a `hidden beast` number, since 462 + 72 + 44 + 88 = 666.

It is a super-2 number, since 2×462724488² = 428227903589724288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (462724481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532183 + ... + 3532313.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^462724488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462724488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

462724488 is an abundant number, since it is smaller than the sum of its proper divisors (921057912).

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

462724488 is a wasteful number, since it uses less digits than its factorization.

462724488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 462724488 is about 21511.0317744175. The cubic root of 462724488 is about 773.4652877950.

The spelling of 462724488 in words is "four hundred sixty-two million, seven hundred twenty-four thousand, four hundred eighty-eight".