464404464 has 120 divisors (see below), whose sum is σ = 1349592192. Its totient is φ = 148953600.

The previous prime is 464404433. The next prime is 464404489.

464404464 is a `hidden beast` number, since 4 + 644 + 0 + 4 + 4 + 6 + 4 = 666.

464404464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537697 + ... + 538559.

Almost surely, 2^464404464 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 464404464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674796096).

464404464 is an abundant number, since it is smaller than the sum of its proper divisors (885187728).

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

464404464 is a wasteful number, since it uses less digits than its factorization.

464404464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 464404464 is about 21550.0455683973. The cubic root of 464404464 is about 774.4002096708.

The spelling of 464404464 in words is "four hundred sixty-four million, four hundred four thousand, four hundred sixty-four".