468440440 has 128 divisors (see below), whose sum is σ = 1265544000. Its totient is φ = 154165248.

The previous prime is 468440437. The next prime is 468440443. The reversal of 468440440 is 44044864.

It is an interprime number because it is at equal distance from previous prime (468440437) and next prime (468440443).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 468440396 and 468440405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468440443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 166566 + ... + 169354.

Almost surely, 2^468440440 is an apocalyptic number.

468440440 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 468440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632772000).

468440440 is an abundant number, since it is smaller than the sum of its proper divisors (797103560).

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

468440440 is a wasteful number, since it uses less digits than its factorization.

468440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 468440440 is about 21643.4849319605. The cubic root of 468440440 is about 776.6370888509.

The spelling of 468440440 in words is "four hundred sixty-eight million, four hundred forty thousand, four hundred forty".