201912480 has 384 divisors, whose sum is σ = 882524160. Its totient is φ = 41886720.

The previous prime is 201912467. The next prime is 201912493. The reversal of 201912480 is 84219102.

201912480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201912467) and next prime (201912493).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 332337 + ... + 332943.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^201912480 is an apocalyptic number.

201912480 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 201912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

201912480 is an abundant number, since it is smaller than the sum of its proper divisors (680611680).

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

201912480 is a wasteful number, since it uses less digits than its factorization.

201912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 201912480 is about 14209.5911271226. The cubic root of 201912480 is about 586.6616792505.

The spelling of 201912480 in words is "two hundred one million, nine hundred twelve thousand, four hundred eighty".