202314420 has 216 divisors, whose sum is σ = 771493632. Its totient is φ = 42007680.

The previous prime is 202314407. The next prime is 202314421. The reversal of 202314420 is 24413202.

It is a super-2 number, since 2×202314420² = 81862249079872800, which contains 22 as substring.

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 = 202314393 and 202314402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202314421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151797 + ... + 153123.

Almost surely, 2^202314420 is an apocalyptic number.

202314420 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 202314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385746816).

202314420 is an abundant number, since it is smaller than the sum of its proper divisors (569179212).

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

202314420 is a wasteful number, since it uses less digits than its factorization.

202314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202314420 is about 14223.7273595918. The cubic root of 202314420 is about 587.0507034127.

Adding to 202314420 its reverse (24413202), we get a palindrome (226727622).

The spelling of 202314420 in words is "two hundred two million, three hundred fourteen thousand, four hundred twenty".