468414464 has 156 divisors (see below), whose sum is σ = 1171247472. Its totient is φ = 182845440.

The previous prime is 468414461. The next prime is 468414469. The reversal of 468414464 is 464414864.

It is a super-2 number, since 2×468414464² = 438824220168814592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468414461) 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 11 ways as a sum of consecutive naturals, for example, 15110129 + ... + 15110159.

Almost surely, 2^468414464 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 468414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585623736).

468414464 is an abundant number, since it is smaller than the sum of its proper divisors (702833008).

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

468414464 is an equidigital number, since it uses as much as digits as its factorization.

468414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its digits is 294912, while the sum is 41.

The square root of 468414464 is about 21642.8848354373. The cubic root of 468414464 is about 776.6227332031.

The spelling of 468414464 in words is "four hundred sixty-eight million, four hundred fourteen thousand, four hundred sixty-four".