463126128 has 40 divisors (see below), whose sum is σ = 1199442576. Its totient is φ = 153984000.

The previous prime is 463126117. The next prime is 463126187. The reversal of 463126128 is 821621364.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7218 + ... + 31278.

Almost surely, 2^463126128 is an apocalyptic number.

463126128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

463126128 is an abundant number, since it is smaller than the sum of its proper divisors (736316448).

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

463126128 is a wasteful number, since it uses less digits than its factorization.

463126128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24473 (or 24467 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 463126128 is about 21520.3654244067. The cubic root of 463126128 is about 773.6890096626.

The spelling of 463126128 in words is "four hundred sixty-three million, one hundred twenty-six thousand, one hundred twenty-eight".