466834000 has 40 divisors (see below), whose sum is σ = 1128809448. Its totient is φ = 186732800.

The previous prime is 466833979. The next prime is 466834001. The reversal of 466834000 is 438664.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 465006096 = 1352^2 + 21564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466834001) 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, 114709 + ... + 118708.

Almost surely, 2^466834000 is an apocalyptic number.

466834000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466834000 is an abundant number, since it is smaller than the sum of its proper divisors (661975448).

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

466834000 is a wasteful number, since it uses less digits than its factorization.

466834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233440 (or 233424 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 466834000 is about 21606.3416616511. The cubic root of 466834000 is about 775.7482887158.

The spelling of 466834000 in words is "four hundred sixty-six million, eight hundred thirty-four thousand".