464259840 has 288 divisors, whose sum is σ = 1677715200. Its totient is φ = 108380160.

The previous prime is 464259793. The next prime is 464259871. The reversal of 464259840 is 48952464.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 464259792 and 464259801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224771 + ... + 1225149.

It is an arithmetic number, because the mean of its divisors is an integer number (5825400).

Almost surely, 2^464259840 is an apocalyptic number.

464259840 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 464259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838857600).

464259840 is an abundant number, since it is smaller than the sum of its proper divisors (1213455360).

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

464259840 is a wasteful number, since it uses less digits than its factorization.

464259840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 464259840 is about 21546.6897689645. The cubic root of 464259840 is about 774.3198138862.

It can be divided in two parts, 46425 and 9840, that added together give a palindrome (56265).

The spelling of 464259840 in words is "four hundred sixty-four million, two hundred fifty-nine thousand, eight hundred forty".