464845440 has 128 divisors (see below), whose sum is σ = 1489363200. Its totient is φ = 123318272.

The previous prime is 464845439. The next prime is 464845441. The reversal of 464845440 is 44548464.

It is an interprime number because it is at equal distance from previous prime (464845439) and next prime (464845441).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×464845440³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (464845441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458374 + ... + 459386.

It is an arithmetic number, because the mean of its divisors is an integer number (11635650).

Almost surely, 2^464845440 is an apocalyptic number.

464845440 is a gapful number since it is divisible by the number (40) 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 464845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744681600).

464845440 is an abundant number, since it is smaller than the sum of its proper divisors (1024517760).

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

464845440 is a wasteful number, since it uses less digits than its factorization.

464845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

The square root of 464845440 is about 21560.2745808118. The cubic root of 464845440 is about 774.6452431149.

The spelling of 464845440 in words is "four hundred sixty-four million, eight hundred forty-five thousand, four hundred forty".