463360464 has 180 divisors, whose sum is σ = 1526285124. Its totient is φ = 130830336.

The previous prime is 463360439. The next prime is 463360481. The reversal of 463360464 is 464063364.

463360464 is a `hidden beast` number, since 46 + 3 + 3 + 604 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 373262400 + 90098064 = 19320^2 + 9492^2 .

It is a super-3 number, since 3×463360464³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 684094 + ... + 684770.

Almost surely, 2^463360464 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 463360464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763142562).

463360464 is an abundant number, since it is smaller than the sum of its proper divisors (1062924660).

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

463360464 is a wasteful number, since it uses less digits than its factorization.

463360464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 463360464 is about 21525.8092530804. The cubic root of 463360464 is about 773.8194799646.

The spelling of 463360464 in words is "four hundred sixty-three million, three hundred sixty thousand, four hundred sixty-four".