405126652 has 48 divisors (see below), whose sum is σ = 837688320. Its totient is φ = 167838912.

The previous prime is 405126649. The next prime is 405126737. The reversal of 405126652 is 256621504.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107374 + ... + 111082.

It is an arithmetic number, because the mean of its divisors is an integer number (17451840).

Almost surely, 2^405126652 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 405126652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418844160).

405126652 is an abundant number, since it is smaller than the sum of its proper divisors (432561668).

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

405126652 is a wasteful number, since it uses less digits than its factorization.

405126652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 405126652 is about 20127.7582457660. The cubic root of 405126652 is about 739.9407378887.

It can be divided in two parts, 4051 and 26652, that added together give a palindrome (30703).

The spelling of 405126652 in words is "four hundred five million, one hundred twenty-six thousand, six hundred fifty-two".