463464720 has 320 divisors, whose sum is σ = 1757030400. Its totient is φ = 111767040.

The previous prime is 463464679. The next prime is 463464731. The reversal of 463464720 is 27464364.

463464720 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 647 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943675 + ... + 944165.

It is an arithmetic number, because the mean of its divisors is an integer number (5490720).

Almost surely, 2^463464720 is an apocalyptic number.

463464720 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 463464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878515200).

463464720 is an abundant number, since it is smaller than the sum of its proper divisors (1293565680).

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

463464720 is a wasteful number, since it uses less digits than its factorization.

463464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 463464720 is about 21528.2307679939. The cubic root of 463464720 is about 773.8775120153.

The spelling of 463464720 in words is "four hundred sixty-three million, four hundred sixty-four thousand, seven hundred twenty".