463057440 has 48 divisors (see below), whose sum is σ = 1458632448. Its totient is φ = 123481856.

The previous prime is 463057391. The next prime is 463057451. The reversal of 463057440 is 44750364.

It is a happy number.

463057440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481872 + ... + 482831.

It is an arithmetic number, because the mean of its divisors is an integer number (30388176).

Almost surely, 2^463057440 is an apocalyptic number.

463057440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463057440 is an abundant number, since it is smaller than the sum of its proper divisors (995575008).

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

463057440 is a wasteful number, since it uses less digits than its factorization.

463057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964721 (or 964713 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 463057440 is about 21518.7694815480. The cubic root of 463057440 is about 773.6507581835.

The spelling of 463057440 in words is "four hundred sixty-three million, fifty-seven thousand, four hundred forty".