405226460200 has 192 divisors, whose sum is σ = 1035927915120. Its totient is φ = 146792448000.

The previous prime is 405226460173. The next prime is 405226460231. The reversal of 405226460200 is 2064622504.

It can be written as a sum of positive squares in 24 ways, for example, as 10317277476 + 394909182724 = 101574^2 + 628418^2 .

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, 10156290 + ... + 10196110.

Almost surely, 2^405226460200 is an apocalyptic number.

405226460200 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 405226460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517963957560).

405226460200 is an abundant number, since it is smaller than the sum of its proper divisors (630701454920).

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

405226460200 is a wasteful number, since it uses less digits than its factorization.

405226460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39968 (or 39959 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 405226460200 in words is "four hundred five billion, two hundred twenty-six million, four hundred sixty thousand, two hundred".