202418920 has 64 divisors (see below), whose sum is σ = 498363840. Its totient is φ = 73382400.

The previous prime is 202418917. The next prime is 202418939. The reversal of 202418920 is 29814202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228799 + ... + 229681.

It is an arithmetic number, because the mean of its divisors is an integer number (7786935).

Almost surely, 2^202418920 is an apocalyptic number.

202418920 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 202418920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249181920).

202418920 is an abundant number, since it is smaller than the sum of its proper divisors (295944920).

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

202418920 is a wasteful number, since it uses less digits than its factorization.

202418920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 202418920 is about 14227.4003247255. The cubic root of 202418920 is about 587.1517610292.

It can be divided in two parts, 20241 and 8920, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 202418920 in words is "two hundred two million, four hundred eighteen thousand, nine hundred twenty".