466826400 has 216 divisors, whose sum is σ = 1718327520. Its totient is φ = 119032320.

The previous prime is 466826389. The next prime is 466826407. The reversal of 466826400 is 4628664.

It is a happy number.

466826400 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 2 + 640 + 0 = 666.

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 (466826407) 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, 164191 + ... + 167009.

It is an arithmetic number, because the mean of its divisors is an integer number (7955220).

Almost surely, 2^466826400 is an apocalyptic number.

466826400 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 466826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859163760).

466826400 is an abundant number, since it is smaller than the sum of its proper divisors (1251501120).

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

466826400 is a wasteful number, since it uses less digits than its factorization.

466826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 466826400 is about 21606.1657866453. The cubic root of 466826400 is about 775.7440789974.

The spelling of 466826400 in words is "four hundred sixty-six million, eight hundred twenty-six thousand, four hundred".