466034624 has 56 divisors (see below), whose sum is σ = 1018812288. Its totient is φ = 209744640.

The previous prime is 466034609. The next prime is 466034627. The reversal of 466034624 is 426430664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466034627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69299 + ... + 75725.

Almost surely, 2^466034624 is an apocalyptic number.

466034624 is a gapful number since it is divisible by the number (44) 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 466034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509406144).

466034624 is an abundant number, since it is smaller than the sum of its proper divisors (552777664).

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

466034624 is a wasteful number, since it uses less digits than its factorization.

466034624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 466034624 is about 21587.8350929407. The cubic root of 466034624 is about 775.3052555398.

The spelling of 466034624 in words is "four hundred sixty-six million, thirty-four thousand, six hundred twenty-four".