463857920 has 72 divisors (see below), whose sum is σ = 1176497784. Its totient is φ = 174620672.

The previous prime is 463857917. The next prime is 463857949. The reversal of 463857920 is 29758364.

It can be written as a sum of positive squares in 4 ways, for example, as 264257536 + 199600384 = 16256^2 + 14128^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11102 + ... + 32418.

It is an arithmetic number, because the mean of its divisors is an integer number (16340247).

Almost surely, 2^463857920 is an apocalyptic number.

463857920 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 463857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588248892).

463857920 is an abundant number, since it is smaller than the sum of its proper divisors (712639864).

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

463857920 is a wasteful number, since it uses less digits than its factorization.

463857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21355 (or 21341 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 463857920 is about 21537.3610268296. The cubic root of 463857920 is about 774.0963007839.

The spelling of 463857920 in words is "four hundred sixty-three million, eight hundred fifty-seven thousand, nine hundred twenty".