405300322400 has 72 divisors (see below), whose sum is σ = 990327396240. Its totient is φ = 161974632960.

The previous prime is 405300322393. The next prime is 405300322439. The reversal of 405300322400 is 4223003504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666821 + ... + 1120379.

It is an arithmetic number, because the mean of its divisors is an integer number (13754547170).

Almost surely, 2^405300322400 is an apocalyptic number.

405300322400 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 405300322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495163698120).

405300322400 is an abundant number, since it is smaller than the sum of its proper divisors (585027073840).

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

405300322400 is a wasteful number, since it uses less digits than its factorization.

405300322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454696 (or 454683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 405300322400 its reverse (4223003504), we get a palindrome (409523325904).

The spelling of 405300322400 in words is "four hundred five billion, three hundred million, three hundred twenty-two thousand, four hundred".