405025024 has 36 divisors (see below), whose sum is σ = 819580636. Its totient is φ = 199729152.

The previous prime is 405025007. The next prime is 405025031. The reversal of 405025024 is 420520504.

It can be written as a sum of positive squares in 2 ways, for example, as 339738624 + 65286400 = 18432^2 + 8080^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405024986 and 405025004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7852 + ... + 29524.

Almost surely, 2^405025024 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 405025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409790318).

405025024 is an abundant number, since it is smaller than the sum of its proper divisors (414555612).

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

405025024 is an equidigital number, since it uses as much as digits as its factorization.

405025024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21762 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 405025024 is about 20125.2335141732. The cubic root of 405025024 is about 739.8788601312.

Adding to 405025024 its reverse (420520504), we get a palindrome (825545528).

The spelling of 405025024 in words is "four hundred five million, twenty-five thousand, twenty-four".