463129152 has 28 divisors (see below), whose sum is σ = 1225363056. Its totient is φ = 154376320.

The previous prime is 463129133. The next prime is 463129171. The reversal of 463129152 is 251921364.

It is an interprime number because it is at equal distance from previous prime (463129133) and next prime (463129171).

It is a super-2 number, since 2×463129152² = 428977222864478208, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1205874 + ... + 1206257.

Almost surely, 2^463129152 is an apocalyptic number.

It is an amenable number.

463129152 is an abundant number, since it is smaller than the sum of its proper divisors (762233904).

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

463129152 is a wasteful number, since it uses less digits than its factorization.

463129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412146 (or 2412136 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 463129152 is about 21520.4356833220. The cubic root of 463129152 is about 773.6906936030.

The spelling of 463129152 in words is "four hundred sixty-three million, one hundred twenty-nine thousand, one hundred fifty-two".