205070400 has 336 divisors, whose sum is σ = 771022080. Its totient is φ = 52992000.

The previous prime is 205070399. The next prime is 205070419. The reversal of 205070400 is 4070502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2030350 + ... + 2030450.

Almost surely, 2^205070400 is an apocalyptic number.

205070400 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 205070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385511040).

205070400 is an abundant number, since it is smaller than the sum of its proper divisors (565951680).

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

205070400 is a wasteful number, since it uses less digits than its factorization.

205070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205070400 is about 14320.2793268847. The cubic root of 205070400 is about 589.7043429136.

The spelling of 205070400 in words is "two hundred five million, seventy thousand, four hundred".