201552416 has 48 divisors (see below), whose sum is σ = 433248984. Its totient is φ = 91736064.

The previous prime is 201552413. The next prime is 201552419. The reversal of 201552416 is 614255102.

It is an interprime number because it is at equal distance from previous prime (201552413) and next prime (201552419).

It can be written as a sum of positive squares in 4 ways, for example, as 80640400 + 120912016 = 8980^2 + 10996^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (201552413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27050 + ... + 33686.

Almost surely, 2^201552416 is an apocalyptic number.

201552416 is a gapful number since it is divisible by the number (26) 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 201552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216624492).

201552416 is an abundant number, since it is smaller than the sum of its proper divisors (231696568).

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

201552416 is a wasteful number, since it uses less digits than its factorization.

201552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 201552416 is about 14196.9157213812. The cubic root of 201552416 is about 586.3127468175.

The spelling of 201552416 in words is "two hundred one million, five hundred fifty-two thousand, four hundred sixteen".