462427488 has 96 divisors (see below), whose sum is σ = 1356657120. Its totient is φ = 153239040.

The previous prime is 462427487. The next prime is 462427513. The reversal of 462427488 is 884724264.

462427488 is a `hidden beast` number, since 462 + 42 + 74 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462427487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154906 + ... + 157862.

It is an arithmetic number, because the mean of its divisors is an integer number (14131845).

Almost surely, 2^462427488 is an apocalyptic number.

462427488 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 462427488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678328560).

462427488 is an abundant number, since it is smaller than the sum of its proper divisors (894229632).

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

462427488 is a wasteful number, since it uses less digits than its factorization.

462427488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3143 counting only the distinct ones).

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

The square root of 462427488 is about 21504.1272317665. The cubic root of 462427488 is about 773.2997693188.

The spelling of 462427488 in words is "four hundred sixty-two million, four hundred twenty-seven thousand, four hundred eighty-eight".