202464220 has 96 divisors (see below), whose sum is σ = 520394112. Its totient is φ = 64585728.

The previous prime is 202464173. The next prime is 202464221. The reversal of 202464220 is 22464202.

202464220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202464191 and 202464200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202464221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230422 + ... + 231298.

It is an arithmetic number, because the mean of its divisors is an integer number (5420772).

Almost surely, 2^202464220 is an apocalyptic number.

202464220 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 202464220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260197056).

202464220 is an abundant number, since it is smaller than the sum of its proper divisors (317929892).

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

202464220 is a wasteful number, since it uses less digits than its factorization.

202464220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 202464220 is about 14228.9922341675. The cubic root of 202464220 is about 587.1955579741.

The spelling of 202464220 in words is "two hundred two million, four hundred sixty-four thousand, two hundred twenty".