405130824 has 72 divisors (see below), whose sum is σ = 1276379910. Its totient is φ = 115750656.

The previous prime is 405130823. The next prime is 405130837. The reversal of 405130824 is 428031504.

It can be written as a sum of positive squares in only one way, i.e., 404733924 + 396900 = 20118^2 + 630^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (405130823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53889 + ... + 60944.

Almost surely, 2^405130824 is an apocalyptic number.

It is an amenable number.

405130824 is an abundant number, since it is smaller than the sum of its proper divisors (871249086).

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

405130824 is a wasteful number, since it uses less digits than its factorization.

405130824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114859 (or 114845 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 405130824 is about 20127.8618834689. The cubic root of 405130824 is about 739.9432778534.

The spelling of 405130824 in words is "four hundred five million, one hundred thirty thousand, eight hundred twenty-four".