464202464 has 72 divisors (see below), whose sum is σ = 1015333704. Its totient is φ = 208736000.

The previous prime is 464202421. The next prime is 464202467.

464202464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 464202464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464202467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390479 + ... + 391665.

It is an arithmetic number, because the mean of its divisors is an integer number (14101857).

Almost surely, 2^464202464 is an apocalyptic number.

464202464 is a gapful number since it is divisible by the number (44) 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 464202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507666852).

464202464 is an abundant number, since it is smaller than the sum of its proper divisors (551131240).

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

464202464 is a wasteful number, since it uses less digits than its factorization.

464202464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 464202464 is about 21545.3582936093. The cubic root of 464202464 is about 774.2879142184.

It can be divided in two parts, 46420 and 2464, that added together give a palindrome (48884).

The spelling of 464202464 in words is "four hundred sixty-four million, two hundred two thousand, four hundred sixty-four".