467787504400 has 120 divisors (see below), whose sum is σ = 1178990164800. Its totient is φ = 178117900800.

The previous prime is 467787504389. The next prime is 467787504403. The reversal of 467787504400 is 4405787764.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (467787504403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539611 + ... + 1107589.

It is an arithmetic number, because the mean of its divisors is an integer number (9824918040).

Almost surely, 2^467787504400 is an apocalyptic number.

467787504400 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 467787504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589495082400).

467787504400 is an abundant number, since it is smaller than the sum of its proper divisors (711202660400).

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

467787504400 is a wasteful number, since it uses less digits than its factorization.

467787504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568097 (or 568086 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 52.

The spelling of 467787504400 in words is "four hundred sixty-seven billion, seven hundred eighty-seven million, five hundred four thousand, four hundred".