463788640 has 48 divisors (see below), whose sum is σ = 1252232352. Its totient is φ = 159012864.

The previous prime is 463788631. The next prime is 463788649. The reversal of 463788640 is 46887364.

It is an interprime number because it is at equal distance from previous prime (463788631) and next prime (463788649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463788649) 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, 205929 + ... + 208168.

It is an arithmetic number, because the mean of its divisors is an integer number (26088174).

Almost surely, 2^463788640 is an apocalyptic number.

463788640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463788640 is an abundant number, since it is smaller than the sum of its proper divisors (788443712).

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

463788640 is a wasteful number, since it uses less digits than its factorization.

463788640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414119 (or 414111 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 463788640 is about 21535.7525988761. The cubic root of 463788640 is about 774.0577602024.

The spelling of 463788640 in words is "four hundred sixty-three million, seven hundred eighty-eight thousand, six hundred forty".