198153480 has 128 divisors (see below), whose sum is σ = 682214400. Its totient is φ = 45103872.

The previous prime is 198153469. The next prime is 198153497. The reversal of 198153480 is 84351891.

198153480 = T₄₅₇ + T₄₅₈ + ... + T₁₀₈₆.

198153480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×198153480² = 78529603272220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351679 + ... + 352241.

It is an arithmetic number, because the mean of its divisors is an integer number (5329800).

Almost surely, 2^198153480 is an apocalyptic number.

198153480 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 198153480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341107200).

198153480 is an abundant number, since it is smaller than the sum of its proper divisors (484060920).

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

198153480 is a wasteful number, since it uses less digits than its factorization.

198153480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 198153480 is about 14076.6998973481. The cubic root of 198153480 is about 582.9982278474.

The spelling of 198153480 in words is "one hundred ninety-eight million, one hundred fifty-three thousand, four hundred eighty".