405121152 has 128 divisors (see below), whose sum is σ = 1148601600. Its totient is φ = 126074880.

The previous prime is 405121151. The next prime is 405121183. The reversal of 405121152 is 251121504.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (405121151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1494777 + ... + 1495047.

It is an arithmetic number, because the mean of its divisors is an integer number (8973450).

Almost surely, 2^405121152 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 405121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574300800).

405121152 is an abundant number, since it is smaller than the sum of its proper divisors (743480448).

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

405121152 is a wasteful number, since it uses less digits than its factorization.

405121152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 405121152 is about 20127.6216180651. The cubic root of 405121152 is about 739.9373893947.

Adding to 405121152 its reverse (251121504), we get a palindrome (656242656).

The spelling of 405121152 in words is "four hundred five million, one hundred twenty-one thousand, one hundred fifty-two".