205447466400 has 288 divisors, whose sum is σ = 731006337600. Its totient is φ = 49704345600.

The previous prime is 205447466359. The next prime is 205447466417. The reversal of 205447466400 is 4664744502.

It is a super-2 number, since 2×205447466400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13429956 + ... + 13445244.

It is an arithmetic number, because the mean of its divisors is an integer number (2538216450).

Almost surely, 2^205447466400 is an apocalyptic number.

205447466400 is a gapful number since it is divisible by the number (20) 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 205447466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365503168800).

205447466400 is an abundant number, since it is smaller than the sum of its proper divisors (525558871200).

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

205447466400 is a wasteful number, since it uses less digits than its factorization.

205447466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 205447466400 in words is "two hundred five billion, four hundred forty-seven million, four hundred sixty-six thousand, four hundred".