207429820 has 48 divisors (see below), whose sum is σ = 471679488. Its totient is φ = 76170240.

The previous prime is 207429799. The next prime is 207429823. The reversal of 207429820 is 28924702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207429823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47572 + ... + 51748.

It is an arithmetic number, because the mean of its divisors is an integer number (9826656).

Almost surely, 2^207429820 is an apocalyptic number.

207429820 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 207429820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235839744).

207429820 is an abundant number, since it is smaller than the sum of its proper divisors (264249668).

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

207429820 is a wasteful number, since it uses less digits than its factorization.

207429820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 207429820 is about 14402.4241015185. The cubic root of 207429820 is about 591.9573220695.

The spelling of 207429820 in words is "two hundred seven million, four hundred twenty-nine thousand, eight hundred twenty".