466898801600 has 336 divisors, whose sum is σ = 1434373194240. Its totient is φ = 145321267200.

The previous prime is 466898801599. The next prime is 466898801623. The reversal of 466898801600 is 6108898664.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103362542 + ... + 103367058.

It is an arithmetic number, because the mean of its divisors is an integer number (4268967840).

Almost surely, 2^466898801600 is an apocalyptic number.

466898801600 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 466898801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717186597120).

466898801600 is an abundant number, since it is smaller than the sum of its proper divisors (967474392640).

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

466898801600 is a wasteful number, since it uses less digits than its factorization.

466898801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 466898801600 in words is "four hundred sixty-six billion, eight hundred ninety-eight million, eight hundred one thousand, six hundred".