463020464 has 40 divisors (see below), whose sum is σ = 930892800. Its totient is φ = 222868800.

The previous prime is 463020463. The next prime is 463020473. The reversal of 463020464 is 464020364.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (463020463) 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 7 ways as a sum of consecutive naturals, for example, 96359 + ... + 101049.

It is an arithmetic number, because the mean of its divisors is an integer number (23272320).

Almost surely, 2^463020464 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 463020464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465446400).

463020464 is an abundant number, since it is smaller than the sum of its proper divisors (467872336).

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

463020464 is a wasteful number, since it uses less digits than its factorization.

463020464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 463020464 is about 21517.9103074625. The cubic root of 463020464 is about 773.6301651502.

The spelling of 463020464 in words is "four hundred sixty-three million, twenty thousand, four hundred sixty-four".