466955798400 has 1152 divisors, whose sum is σ = 2126988864000. Its totient is φ = 98507612160.

The previous prime is 466955798341. The next prime is 466955798467. The reversal of 466955798400 is 4897559664.

466955798400 is a `hidden beast` number, since 4 + 6 + 6 + 95 + 57 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70758301 + ... + 70764899.

It is an arithmetic number, because the mean of its divisors is an integer number (1846344500).

Almost surely, 2^466955798400 is an apocalyptic number.

466955798400 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 466955798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063494432000).

466955798400 is an abundant number, since it is smaller than the sum of its proper divisors (1660033065600).

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

466955798400 is a wasteful number, since it uses less digits than its factorization.

466955798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 466955798400 in words is "four hundred sixty-six billion, nine hundred fifty-five million, seven hundred ninety-eight thousand, four hundred".