466372800 has 252 divisors, whose sum is σ = 1676689560. Its totient is φ = 122941440.

The previous prime is 466372793. The next prime is 466372807. The reversal of 466372800 is 8273664.

It is an interprime number because it is at equal distance from previous prime (466372793) and next prime (466372807).

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

It is not an unprimeable number, because it can be changed into a prime (466372807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2001484 + ... + 2001716.

It is an arithmetic number, because the mean of its divisors is an integer number (6653530).

Almost surely, 2^466372800 is an apocalyptic number.

466372800 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 466372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838344780).

466372800 is an abundant number, since it is smaller than the sum of its proper divisors (1210316760).

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

466372800 is a wasteful number, since it uses less digits than its factorization.

466372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 466372800 is about 21595.6662319087. Note that the first 3 decimals coincide. The cubic root of 466372800 is about 775.4927424941.

The spelling of 466372800 in words is "four hundred sixty-six million, three hundred seventy-two thousand, eight hundred".