463915020 has 96 divisors (see below), whose sum is σ = 1372250880. Its totient is φ = 116778240.

The previous prime is 463915019. The next prime is 463915021. The reversal of 463915020 is 20519364.

It is an interprime number because it is at equal distance from previous prime (463915019) and next prime (463915021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (463915021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 424675 + ... + 425765.

It is an arithmetic number, because the mean of its divisors is an integer number (14294280).

Almost surely, 2^463915020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463915020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686125440).

463915020 is an abundant number, since it is smaller than the sum of its proper divisors (908335860).

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

463915020 is a wasteful number, since it uses less digits than its factorization.

463915020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 463915020 is about 21538.6865894836. The cubic root of 463915020 is about 774.1280627260.

The spelling of 463915020 in words is "four hundred sixty-three million, nine hundred fifteen thousand, twenty".