463420080 has 60 divisors (see below), whose sum is σ = 1556321520. Its totient is φ = 123578496.

The previous prime is 463420033. The next prime is 463420093. The reversal of 463420080 is 80024364.

463420080 is a `hidden beast` number, since 4 + 634 + 20 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321100 + ... + 322539.

It is an arithmetic number, because the mean of its divisors is an integer number (25938692).

Almost surely, 2^463420080 is an apocalyptic number.

463420080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463420080 is an abundant number, since it is smaller than the sum of its proper divisors (1092901440).

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

463420080 is a wasteful number, since it uses less digits than its factorization.

463420080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643658 (or 643649 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 463420080 is about 21527.1939648436. The cubic root of 463420080 is about 773.8526651033.

The spelling of 463420080 in words is "four hundred sixty-three million, four hundred twenty thousand, eighty".