204226465400 has 192 divisors, whose sum is σ = 498008170080. Its totient is φ = 77811148800.

The previous prime is 204226465367. The next prime is 204226465409. The reversal of 204226465400 is 4564622402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204226465409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85772210 + ... + 85774590.

Almost surely, 2^204226465400 is an apocalyptic number.

204226465400 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 204226465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249004085040).

204226465400 is an abundant number, since it is smaller than the sum of its proper divisors (293781704680).

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

204226465400 is a wasteful number, since it uses less digits than its factorization.

204226465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 204226465400 in words is "two hundred four billion, two hundred twenty-six million, four hundred sixty-five thousand, four hundred".