463058880 has 224 divisors, whose sum is σ = 1580083200. Its totient is φ = 114536448.

The previous prime is 463058833. The next prime is 463058927. The reversal of 463058880 is 88850364.

It is an interprime number because it is at equal distance from previous prime (463058833) and next prime (463058927).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966481 + ... + 966959.

Almost surely, 2^463058880 is an apocalyptic number.

463058880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

463058880 is an abundant number, since it is smaller than the sum of its proper divisors (1117024320).

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

463058880 is a wasteful number, since it uses less digits than its factorization.

463058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 463058880 is about 21518.8029406842. The cubic root of 463058880 is about 773.6515601401.

The spelling of 463058880 in words is "four hundred sixty-three million, fifty-eight thousand, eight hundred eighty".