463347456 has 144 divisors (see below), whose sum is σ = 1449114240. Its totient is φ = 129576960.

The previous prime is 463347449. The next prime is 463347463. The reversal of 463347456 is 654743364.

It is an interprime number because it is at equal distance from previous prime (463347449) and next prime (463347463).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107715 + ... + 111933.

Almost surely, 2^463347456 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 463347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724557120).

463347456 is an abundant number, since it is smaller than the sum of its proper divisors (985766784).

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

463347456 is a wasteful number, since it uses less digits than its factorization.

463347456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4248 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The square root of 463347456 is about 21525.5071020406. The cubic root of 463347456 is about 773.8122387066.

It can be divided in two parts, 46334745 and 6, that added together give a triangular number (46334751 = T₉₆₂₆).

The spelling of 463347456 in words is "four hundred sixty-three million, three hundred forty-seven thousand, four hundred fifty-six".