463430440 has 64 divisors (see below), whose sum is σ = 1176768000. Its totient is φ = 162704640.

The previous prime is 463430413. The next prime is 463430441. The reversal of 463430440 is 44034364.

It is a junction number, because it is equal to n+sod(n) for n = 463430399 and 463430408.

It is not an unprimeable number, because it can be changed into a prime (463430441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5400 + ... + 30919.

It is an arithmetic number, because the mean of its divisors is an integer number (18387000).

Almost surely, 2^463430440 is an apocalyptic number.

463430440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463430440 is an abundant number, since it is smaller than the sum of its proper divisors (713337560).

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

463430440 is a wasteful number, since it uses less digits than its factorization.

463430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36370 (or 36366 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 463430440 is about 21527.4345893792. The cubic root of 463430440 is about 773.8584316883.

The spelling of 463430440 in words is "four hundred sixty-three million, four hundred thirty thousand, four hundred forty".