462628488 has 64 divisors (see below), whose sum is σ = 1332264960. Its totient is φ = 131132736.

The previous prime is 462628483. The next prime is 462628493. The reversal of 462628488 is 884826264.

It is an interprime number because it is at equal distance from previous prime (462628483) and next prime (462628493).

It is a super-2 number, since 2×462628488² = 428050235818332288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (462628483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10495 + ... + 32177.

It is an arithmetic number, because the mean of its divisors is an integer number (20816640).

Almost surely, 2^462628488 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 462628488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666132480).

462628488 is an abundant number, since it is smaller than the sum of its proper divisors (869636472).

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

462628488 is a wasteful number, since it uses less digits than its factorization.

462628488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21822 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 462628488 is about 21508.8002454809. The cubic root of 462628488 is about 773.4117946221.

The spelling of 462628488 in words is "four hundred sixty-two million, six hundred twenty-eight thousand, four hundred eighty-eight".