468055478400 has 768 divisors, whose sum is σ = 1682892288000. Its totient is φ = 113886167040.

The previous prime is 468055478377. The next prime is 468055478419. The reversal of 468055478400 is 4874550864.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066185381 + ... + 1066185819.

It is an arithmetic number, because the mean of its divisors is an integer number (2191266000).

Almost surely, 2^468055478400 is an apocalyptic number.

468055478400 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 468055478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841446144000).

468055478400 is an abundant number, since it is smaller than the sum of its proper divisors (1214836809600).

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

468055478400 is a wasteful number, since it uses less digits than its factorization.

468055478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 468055478400 in words is "four hundred sixty-eight billion, fifty-five million, four hundred seventy-eight thousand, four hundred".