463042560 has 96 divisors (see below), whose sum is σ = 1481472720. Its totient is φ = 123469824.

The previous prime is 463042537. The next prime is 463042571. The reversal of 463042560 is 65240364.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23184 + ... + 38256.

Almost surely, 2^463042560 is an apocalyptic number.

463042560 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 463042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740736360).

463042560 is an abundant number, since it is smaller than the sum of its proper divisors (1018430160).

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

463042560 is a wasteful number, since it uses less digits than its factorization.

463042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15103 (or 15083 counting only the distinct ones).

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

The square root of 463042560 is about 21518.4237340935. The cubic root of 463042560 is about 773.6424712011.

The spelling of 463042560 in words is "four hundred sixty-three million, forty-two thousand, five hundred sixty".