202420240 has 160 divisors (see below), whose sum is σ = 547036416. Its totient is φ = 68935680.

The previous prime is 202420223. The next prime is 202420247. The reversal of 202420240 is 42024202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202420247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1477452 + ... + 1477588.

Almost surely, 2^202420240 is an apocalyptic number.

202420240 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 202420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273518208).

202420240 is an abundant number, since it is smaller than the sum of its proper divisors (344616176).

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

202420240 is a wasteful number, since it uses less digits than its factorization.

202420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 202420240 is about 14227.4467140102. The cubic root of 202420240 is about 587.1530373240.

Adding to 202420240 its reverse (42024202), we get a palindrome (244444442).

The spelling of 202420240 in words is "two hundred two million, four hundred twenty thousand, two hundred forty".