463968640 has 64 divisors (see below), whose sum is σ = 1116753120. Its totient is φ = 184320000.

The previous prime is 463968611. The next prime is 463968647. The reversal of 463968640 is 46869364.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463968647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94240 + ... + 99040.

Almost surely, 2^463968640 is an apocalyptic number.

463968640 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 463968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558376560).

463968640 is an abundant number, since it is smaller than the sum of its proper divisors (652784480).

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

463968640 is a wasteful number, since it uses less digits than its factorization.

463968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 463968640 is about 21539.9312905125. The cubic root of 463968640 is about 774.1578865413.

The spelling of 463968640 in words is "four hundred sixty-three million, nine hundred sixty-eight thousand, six hundred forty".