463675200 has 168 divisors, whose sum is σ = 1574170080. Its totient is φ = 119347200.

The previous prime is 463675169. The next prime is 463675211. The reversal of 463675200 is 2576364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137535 + ... + 140865.

It is an arithmetic number, because the mean of its divisors is an integer number (9370060).

Almost surely, 2^463675200 is an apocalyptic number.

463675200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787085040).

463675200 is an abundant number, since it is smaller than the sum of its proper divisors (1110494880).

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

463675200 is a wasteful number, since it uses less digits than its factorization.

463675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 463675200 is about 21533.1186779807. The cubic root of 463675200 is about 773.9946450497.

The spelling of 463675200 in words is "four hundred sixty-three million, six hundred seventy-five thousand, two hundred".