463205460 has 192 divisors, whose sum is σ = 1437004800. Its totient is φ = 111003648.

The previous prime is 463205459. The next prime is 463205471. The reversal of 463205460 is 64502364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2587651 + ... + 2587829.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2^463205460 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 463205460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

463205460 is an abundant number, since it is smaller than the sum of its proper divisors (973799340).

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

463205460 is a wasteful number, since it uses less digits than its factorization.

463205460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 463205460 is about 21522.2085297954. The cubic root of 463205460 is about 773.7331839444.

The spelling of 463205460 in words is "four hundred sixty-three million, two hundred five thousand, four hundred sixty".