463857900 has 288 divisors, whose sum is σ = 1567399680. Its totient is φ = 104832000.

The previous prime is 463857883. The next prime is 463857907. The reversal of 463857900 is 9758364.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (463857907) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3540835 + ... + 3540965.

It is an arithmetic number, because the mean of its divisors is an integer number (5442360).

Almost surely, 2^463857900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463857900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783699840).

463857900 is an abundant number, since it is smaller than the sum of its proper divisors (1103541780).

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

463857900 is a wasteful number, since it uses less digits than its factorization.

463857900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 463857900 is about 21537.3605625202. The cubic root of 463857900 is about 774.0962896584.

It can be divided in two parts, 46385 and 7900, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 463857900 in words is "four hundred sixty-three million, eight hundred fifty-seven thousand, nine hundred".