198410520 has 256 divisors, whose sum is σ = 752716800. Its totient is φ = 40642560.

The previous prime is 198410507. The next prime is 198410549. The reversal of 198410520 is 25014891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007062 + ... + 1007258.

It is an arithmetic number, because the mean of its divisors is an integer number (2940300).

Almost surely, 2^198410520 is an apocalyptic number.

198410520 is a gapful number since it is divisible by the number (10) 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 198410520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376358400).

198410520 is an abundant number, since it is smaller than the sum of its proper divisors (554306280).

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

198410520 is a wasteful number, since it uses less digits than its factorization.

198410520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 198410520 is about 14085.8269192831. The cubic root of 198410520 is about 583.2502027568.

The spelling of 198410520 in words is "one hundred ninety-eight million, four hundred ten thousand, five hundred twenty".