202430000 has 100 divisors (see below), whose sum is σ = 506687808. Its totient is φ = 78240000.

The previous prime is 202429973. The next prime is 202430021. The reversal of 202430000 is 34202.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309674 + ... + 310326.

Almost surely, 2^202430000 is an apocalyptic number.

202430000 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 202430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253343904).

202430000 is an abundant number, since it is smaller than the sum of its proper divisors (304257808).

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

202430000 is an equidigital number, since it uses as much as digits as its factorization.

202430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 202430000 is about 14227.7897088761. The cubic root of 202430000 is about 587.1624739981.

Adding to 202430000 its reverse (34202), we get a palindrome (202464202).

The spelling of 202430000 in words is "two hundred two million, four hundred thirty thousand".