463740480 has 168 divisors, whose sum is σ = 1823020992. Its totient is φ = 105993216.

The previous prime is 463740469. The next prime is 463740481. The reversal of 463740480 is 84047364.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (463740481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8659 + ... + 31661.

Almost surely, 2^463740480 is an apocalyptic number.

463740480 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 463740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911510496).

463740480 is an abundant number, since it is smaller than the sum of its proper divisors (1359280512).

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

463740480 is a wasteful number, since it uses less digits than its factorization.

463740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23033 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 463740480 is about 21534.6344292166. The cubic root of 463740480 is about 774.0309664513.

The spelling of 463740480 in words is "four hundred sixty-three million, seven hundred forty thousand, four hundred eighty".