201153456 has 240 divisors, whose sum is σ = 704121600. Its totient is φ = 54307584.

The previous prime is 201153431. The next prime is 201153457. The reversal of 201153456 is 654351102.

201153456 is a `hidden beast` number, since 201 + 1 + 5 + 3 + 456 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (201153457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516910 + ... + 517298.

It is an arithmetic number, because the mean of its divisors is an integer number (2933840).

Almost surely, 2^201153456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201153456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352060800).

201153456 is an abundant number, since it is smaller than the sum of its proper divisors (502968144).

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

201153456 is a wasteful number, since it uses less digits than its factorization.

201153456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 201153456 is about 14182.8578220329. The cubic root of 201153456 is about 585.9256352029.

It can be divided in two parts, 20 and 1153456, that added together give a square (1153476 = 1074²).

The spelling of 201153456 in words is "two hundred one million, one hundred fifty-three thousand, four hundred fifty-six".