466260400 has 60 divisors (see below), whose sum is σ = 1131166192. Its totient is φ = 184677120.

The previous prime is 466260397. The next prime is 466260407. The reversal of 466260400 is 4062664.

It is not an unprimeable number, because it can be changed into a prime (466260407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35542 + ... + 46858.

Almost surely, 2^466260400 is an apocalyptic number.

466260400 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 466260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565583096).

466260400 is an abundant number, since it is smaller than the sum of its proper divisors (664905792).

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

466260400 is a wasteful number, since it uses less digits than its factorization.

466260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 466260400 is about 21593.0637011055. The cubic root of 466260400 is about 775.4304372684.

The spelling of 466260400 in words is "four hundred sixty-six million, two hundred sixty thousand, four hundred".