466425440 has 96 divisors (see below), whose sum is σ = 1209370176. Its totient is φ = 168929280.

The previous prime is 466425439. The next prime is 466425457. The reversal of 466425440 is 44524664.

It is a self number, because there is not a number n which added to its sum of digits gives 466425440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108125 + ... + 112355.

It is an arithmetic number, because the mean of its divisors is an integer number (12597606).

Almost surely, 2^466425440 is an apocalyptic number.

466425440 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 466425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604685088).

466425440 is an abundant number, since it is smaller than the sum of its proper divisors (742944736).

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

466425440 is a wasteful number, since it uses less digits than its factorization.

466425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 466425440 is about 21596.8849605678. The cubic root of 466425440 is about 775.5219182967.

The spelling of 466425440 in words is "four hundred sixty-six million, four hundred twenty-five thousand, four hundred forty".