201923280 has 480 divisors, whose sum is σ = 818947584. Its totient is φ = 45785088.

The previous prime is 201923273. The next prime is 201923291. The reversal of 201923280 is 82329102.

It is a happy number.

It is a super-2 number, since 2×201923280² = 81546022011916800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4296217 + ... + 4296263.

Almost surely, 2^201923280 is an apocalyptic number.

201923280 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 201923280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

201923280 is an abundant number, since it is smaller than the sum of its proper divisors (617024304).

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

201923280 is a wasteful number, since it uses less digits than its factorization.

201923280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201923280 is about 14209.9711470502. The cubic root of 201923280 is about 586.6721389526.

The spelling of 201923280 in words is "two hundred one million, nine hundred twenty-three thousand, two hundred eighty".