466403600 has 120 divisors (see below), whose sum is σ = 1214896200. Its totient is φ = 171048960.

The previous prime is 466403599. The next prime is 466403629. The reversal of 466403600 is 6304664.

It can be written as a sum of positive squares in 12 ways, for example, as 35093776 + 431309824 = 5924^2 + 20768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336226 + ... + 1336574.

It is an arithmetic number, because the mean of its divisors is an integer number (10124135).

Almost surely, 2^466403600 is an apocalyptic number.

466403600 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 466403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607448100).

466403600 is an abundant number, since it is smaller than the sum of its proper divisors (748492600).

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

466403600 is a wasteful number, since it uses less digits than its factorization.

466403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 466403600 is about 21596.3793261741. The cubic root of 466403600 is about 775.5098137089.

The spelling of 466403600 in words is "four hundred sixty-six million, four hundred three thousand, six hundred".