210042400 has 36 divisors (see below), whose sum is σ = 512767962. Its totient is φ = 84016640.

The previous prime is 210042347. The next prime is 210042409. The reversal of 210042400 is 4240012.

It can be written as a sum of positive squares in 3 ways, for example, as 194769936 + 15272464 = 13956^2 + 3908^2 .

It is not an unprimeable number, because it can be changed into a prime (210042409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130477 + ... + 132076.

Almost surely, 2^210042400 is an apocalyptic number.

210042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210042400 is an abundant number, since it is smaller than the sum of its proper divisors (302725562).

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

210042400 is a wasteful number, since it uses less digits than its factorization.

210042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262573 (or 262560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 210042400 is about 14492.8396113391. The cubic root of 210042400 is about 594.4321961225.

Adding to 210042400 its reverse (4240012), we get a palindrome (214282412).

The spelling of 210042400 in words is "two hundred ten million, forty-two thousand, four hundred".