463649760 has 216 divisors, whose sum is σ = 1840804056. Its totient is φ = 105960960.

The previous prime is 463649759. The next prime is 463649831. The reversal of 463649760 is 67946364.

463649760 is a `hidden beast` number, since 4 + 636 + 4 + 9 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 67275 + ... + 73845.

It is an arithmetic number, because the mean of its divisors is an integer number (8522241).

Almost surely, 2^463649760 is an apocalyptic number.

463649760 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 463649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920402028).

463649760 is an abundant number, since it is smaller than the sum of its proper divisors (1377154296).

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

463649760 is a wasteful number, since it uses less digits than its factorization.

463649760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 463649760 is about 21532.5279519150. The cubic root of 463649760 is about 773.9804894627.

The spelling of 463649760 in words is "four hundred sixty-three million, six hundred forty-nine thousand, seven hundred sixty".