463552992 has 72 divisors (see below), whose sum is σ = 1506553776. Its totient is φ = 132443136.

The previous prime is 463552979. The next prime is 463553003. The reversal of 463552992 is 299255364.

463552992 is a `hidden beast` number, since 4 + 6 + 3 + 552 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112953 + ... + 116984.

It is an arithmetic number, because the mean of its divisors is an integer number (20924358).

Almost surely, 2^463552992 is an apocalyptic number.

463552992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

463552992 is an abundant number, since it is smaller than the sum of its proper divisors (1043000784).

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

463552992 is a wasteful number, since it uses less digits than its factorization.

463552992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229960 (or 229949 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 463552992 is about 21530.2808156327. The cubic root of 463552992 is about 773.9266400836.

The spelling of 463552992 in words is "four hundred sixty-three million, five hundred fifty-two thousand, nine hundred ninety-two".