405303052 has 144 divisors (see below), whose sum is σ = 978130944. Its totient is φ = 143193600.

The previous prime is 405303029. The next prime is 405303071. The reversal of 405303052 is 250303504.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1785363 + ... + 1785589.

It is an arithmetic number, because the mean of its divisors is an integer number (6792576).

Almost surely, 2^405303052 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 405303052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489065472).

405303052 is an abundant number, since it is smaller than the sum of its proper divisors (572827892).

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

405303052 is a wasteful number, since it uses less digits than its factorization.

405303052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 405303052 is about 20132.1397769835. The cubic root of 405303052 is about 740.0481171536.

Adding to 405303052 its reverse (250303504), we get a palindrome (655606556).

The spelling of 405303052 in words is "four hundred five million, three hundred three thousand, fifty-two".