463248440 has 32 divisors (see below), whose sum is σ = 1043027280. Its totient is φ = 185171712.

The previous prime is 463248389. The next prime is 463248479. The reversal of 463248440 is 44842364.

It is a self number, because there is not a number n which added to its sum of digits gives 463248440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73244 + ... + 79316.

Almost surely, 2^463248440 is an apocalyptic number.

463248440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463248440 is an abundant number, since it is smaller than the sum of its proper divisors (579778840).

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

463248440 is a wasteful number, since it uses less digits than its factorization.

463248440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 463248440 is about 21523.2070101089. The cubic root of 463248440 is about 773.7571143069.

The spelling of 463248440 in words is "four hundred sixty-three million, two hundred forty-eight thousand, four hundred forty".