464857344 has 432 divisors, whose sum is σ = 1696356480. Its totient is φ = 119439360.

The previous prime is 464857343. The next prime is 464857361. The reversal of 464857344 is 443758464.

464857344 is a `hidden beast` number, since 464 + 85 + 73 + 44 = 666.

Its product of digits (1290240) is a multiple of the sum of its prime factors (126).

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 464857344.

It is not an unprimeable number, because it can be changed into a prime (464857343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11337964 + ... + 11338004.

Almost surely, 2^464857344 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 464857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848178240).

464857344 is an abundant number, since it is smaller than the sum of its proper divisors (1231499136).

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

464857344 is a wasteful number, since it uses less digits than its factorization.

464857344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 464857344 is about 21560.5506423189. The cubic root of 464857344 is about 774.6518555625.

The spelling of 464857344 in words is "four hundred sixty-four million, eight hundred fifty-seven thousand, three hundred forty-four".