466451440 has 160 divisors (see below), whose sum is σ = 1413659520. Its totient is φ = 138903552.

The previous prime is 466451429. The next prime is 466451441. The reversal of 466451440 is 44154664.

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 = 466451396 and 466451405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466451441) 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, 121876 + ... + 125644.

It is an arithmetic number, because the mean of its divisors is an integer number (8835372).

Almost surely, 2^466451440 is an apocalyptic number.

466451440 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 466451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706829760).

466451440 is an abundant number, since it is smaller than the sum of its proper divisors (947208080).

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

466451440 is a wasteful number, since it uses less digits than its factorization.

466451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 466451440 is about 21597.4868908399. The cubic root of 466451440 is about 775.5363280276.

The spelling of 466451440 in words is "four hundred sixty-six million, four hundred fifty-one thousand, four hundred forty".