463983975 has 288 divisors, whose sum is σ = 1143926784. Its totient is φ = 174182400.

The previous prime is 463983973. The next prime is 463983979. The reversal of 463983975 is 579389364.

463983975 is a `hidden beast` number, since 463 + 98 + 3 + 97 + 5 = 666.

It is not a de Polignac number, because 463983975 - 2¹ = 463983973 is a prime.

It is a super-2 number, since 2×463983975² = 430562258113601250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463983973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10790304 + ... + 10790346.

It is an arithmetic number, because the mean of its divisors is an integer number (3971968).

Almost surely, 2^463983975 is an apocalyptic number.

463983975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

463983975 is an abundant number, since it is smaller than the sum of its proper divisors (679942809).

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

463983975 is a wasteful number, since it uses less digits than its factorization.

463983975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 463983975 is about 21540.2872543520. The cubic root of 463983975 is about 774.1664155520.

The spelling of 463983975 in words is "four hundred sixty-three million, nine hundred eighty-three thousand, nine hundred seventy-five".