466745400 has 216 divisors, whose sum is σ = 1723743840. Its totient is φ = 113097600.

The previous prime is 466745347. The next prime is 466745407. The reversal of 466745400 is 4547664.

466745400 is a `hidden beast` number, since 46 + 6 + 74 + 540 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466745407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 216729 + ... + 218871.

Almost surely, 2^466745400 is an apocalyptic number.

466745400 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 466745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861871920).

466745400 is an abundant number, since it is smaller than the sum of its proper divisors (1256998440).

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

466745400 is a wasteful number, since it uses less digits than its factorization.

466745400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 466745400 is about 21604.2912403994. The cubic root of 466745400 is about 775.6992094235.

The spelling of 466745400 in words is "four hundred sixty-six million, seven hundred forty-five thousand, four hundred".