206488229400 has 384 divisors, whose sum is σ = 722292014400. Its totient is φ = 54889850880.

The previous prime is 206488229383. The next prime is 206488229447. The reversal of 206488229400 is 4922884602.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199891284 + ... + 199892316.

Almost surely, 2^206488229400 is an apocalyptic number.

206488229400 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 206488229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361146007200).

206488229400 is an abundant number, since it is smaller than the sum of its proper divisors (515803785000).

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

206488229400 is a wasteful number, since it uses less digits than its factorization.

206488229400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 206488229400 in words is "two hundred six billion, four hundred eighty-eight million, two hundred twenty-nine thousand, four hundred".