201353040 has 400 divisors, whose sum is σ = 838303488. Its totient is φ = 43794432.

The previous prime is 201353027. The next prime is 201353041. The reversal of 201353040 is 40353102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201353041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1043184 + ... + 1043376.

Almost surely, 2^201353040 is an apocalyptic number.

201353040 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 201353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419151744).

201353040 is an abundant number, since it is smaller than the sum of its proper divisors (636950448).

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

201353040 is a wasteful number, since it uses less digits than its factorization.

201353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 201353040 is about 14189.8921771802. The cubic root of 201353040 is about 586.1193558401.

The spelling of 201353040 in words is "two hundred one million, three hundred fifty-three thousand, forty".