201849840 has 320 divisors, whose sum is σ = 771379200. Its totient is φ = 48254976.

The previous prime is 201849839. The next prime is 201849859. The reversal of 201849840 is 48948102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 201849795 and 201849804.

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, 844441 + ... + 844679.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^201849840 is an apocalyptic number.

201849840 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 201849840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

201849840 is an abundant number, since it is smaller than the sum of its proper divisors (569529360).

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

201849840 is a wasteful number, since it uses less digits than its factorization.

201849840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 201849840 is about 14207.3868110923. The cubic root of 201849840 is about 586.6010056220.

The spelling of 201849840 in words is "two hundred one million, eight hundred forty-nine thousand, eight hundred forty".