463442560 has 256 divisors, whose sum is σ = 1353646080. Its totient is φ = 148377600.

The previous prime is 463442537. The next prime is 463442563. The reversal of 463442560 is 65244364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463442563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6527325 + ... + 6527395.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2^463442560 is an apocalyptic number.

463442560 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 463442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676823040).

463442560 is an abundant number, since it is smaller than the sum of its proper divisors (890203520).

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

463442560 is a wasteful number, since it uses less digits than its factorization.

463442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 463442560 is about 21527.7160888005. The cubic root of 463442560 is about 773.8651778157.

The spelling of 463442560 in words is "four hundred sixty-three million, four hundred forty-two thousand, five hundred sixty".