201045408 has 48 divisors (see below), whose sum is σ = 531145440. Its totient is φ = 66583296.

The previous prime is 201045407. The next prime is 201045409. The reversal of 201045408 is 804540102.

It is an interprime number because it is at equal distance from previous prime (201045407) and next prime (201045409).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201045407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8403 + ... + 21741.

It is an arithmetic number, because the mean of its divisors is an integer number (11065530).

Almost surely, 2^201045408 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 201045408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265572720).

201045408 is an abundant number, since it is smaller than the sum of its proper divisors (330100032).

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

201045408 is a wasteful number, since it uses less digits than its factorization.

201045408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 201045408 is about 14179.0482050101. The cubic root of 201045408 is about 585.8207079618.

The spelling of 201045408 in words is "two hundred one million, forty-five thousand, four hundred eight".