466834400 has 36 divisors (see below), whose sum is σ = 1139661432. Its totient is φ = 186733440.

The previous prime is 466834397. The next prime is 466834411. The reversal of 466834400 is 4438664.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 290972 + ... + 292571.

It is an arithmetic number, because the mean of its divisors is an integer number (31657262).

Almost surely, 2^466834400 is an apocalyptic number.

466834400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466834400 is an abundant number, since it is smaller than the sum of its proper divisors (672827032).

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

466834400 is a wasteful number, since it uses less digits than its factorization.

466834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583563 (or 583550 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 466834400 is about 21606.3509181907. The cubic root of 466834400 is about 775.7485102787.

The spelling of 466834400 in words is "four hundred sixty-six million, eight hundred thirty-four thousand, four hundred".