201980460 has 144 divisors (see below), whose sum is σ = 637072128. Its totient is φ = 47752320.

The previous prime is 201980353. The next prime is 201980489. The reversal of 201980460 is 64089102.

It is a super-2 number, since 2×201980460² = 81592212443623200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311857 + ... + 312503.

It is an arithmetic number, because the mean of its divisors is an integer number (4424112).

Almost surely, 2^201980460 is an apocalyptic number.

201980460 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 201980460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536064).

201980460 is an abundant number, since it is smaller than the sum of its proper divisors (435091668).

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

201980460 is a wasteful number, since it uses less digits than its factorization.

201980460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 201980460 is about 14211.9829721260. The cubic root of 201980460 is about 586.7275110506.

The spelling of 201980460 in words is "two hundred one million, nine hundred eighty thousand, four hundred sixty".