466731408 has 160 divisors (see below), whose sum is σ = 1433158272. Its totient is φ = 129024000.

The previous prime is 466731407. The next prime is 466731449. The reversal of 466731408 is 804137664.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (466731407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665458 + ... + 666158.

Almost surely, 2^466731408 is an apocalyptic number.

466731408 is a gapful number since it is divisible by the number (48) 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 466731408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

466731408 is an abundant number, since it is smaller than the sum of its proper divisors (966426864).

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

466731408 is a wasteful number, since it uses less digits than its factorization.

466731408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 466731408 is about 21603.9674134174. The cubic root of 466731408 is about 775.6914580943.

The spelling of 466731408 in words is "four hundred sixty-six million, seven hundred thirty-one thousand, four hundred eight".