202440420 has 288 divisors, whose sum is σ = 801335808. Its totient is φ = 40144896.

The previous prime is 202440389. The next prime is 202440449. The reversal of 202440420 is 24044202.

202440420 is a `hidden beast` number, since 2 + 0 + 244 + 0 + 420 = 666.

202440420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202440393 and 202440402.

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, 278097 + ... + 278823.

It is an arithmetic number, because the mean of its divisors is an integer number (2782416).

Almost surely, 2^202440420 is an apocalyptic number.

202440420 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 202440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400667904).

202440420 is an abundant number, since it is smaller than the sum of its proper divisors (598895388).

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

202440420 is a wasteful number, since it uses less digits than its factorization.

202440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 202440420 is about 14228.1558889408. The cubic root of 202440420 is about 587.1725484733.

Adding to 202440420 its reverse (24044202), we get a palindrome (226484622).

The spelling of 202440420 in words is "two hundred two million, four hundred forty thousand, four hundred twenty".