466704400 has 60 divisors (see below), whose sum is σ = 1187230932. Its totient is φ = 175697920.

The previous prime is 466704367. The next prime is 466704401. The reversal of 466704400 is 4407664.

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 458131216 = 2928^2 + 21404^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466704401) 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, 27517 + ... + 41116.

Almost surely, 2^466704400 is an apocalyptic number.

466704400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466704400 is an abundant number, since it is smaller than the sum of its proper divisors (720526532).

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

466704400 is a wasteful number, since it uses less digits than its factorization.

466704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68668 (or 68657 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 466704400 is about 21603.3423340001. The cubic root of 466704400 is about 775.6764956850.

The spelling of 466704400 in words is "four hundred sixty-six million, seven hundred four thousand, four hundred".