466666400 has 72 divisors (see below), whose sum is σ = 1158675840. Its totient is φ = 183484160.

The previous prime is 466666393. The next prime is 466666423. The reversal of 466666400 is 4666664.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42257 + ... + 52143.

It is an arithmetic number, because the mean of its divisors is an integer number (16092720).

Almost surely, 2^466666400 is an apocalyptic number.

466666400 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 466666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579337920).

466666400 is an abundant number, since it is smaller than the sum of its proper divisors (692009440).

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

466666400 is a wasteful number, since it uses less digits than its factorization.

466666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9966 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 466666400 is about 21602.4628225580. The cubic root of 466666400 is about 775.6554427396.

466666400 divided by its reverse (4666664) gives a square (100 = 10²).

The spelling of 466666400 in words is "four hundred sixty-six million, six hundred sixty-six thousand, four hundred".