405004240 has 80 divisors (see below), whose sum is σ = 992579328. Its totient is φ = 153381888.

The previous prime is 405004199. The next prime is 405004253. The reversal of 405004240 is 42400504.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188452 + ... + 190588.

Almost surely, 2^405004240 is an apocalyptic number.

405004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496289664).

405004240 is an abundant number, since it is smaller than the sum of its proper divisors (587575088).

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

405004240 is a wasteful number, since it uses less digits than its factorization.

405004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 405004240 is about 20124.7171408693. The cubic root of 405004240 is about 739.8662042010.

Adding to 405004240 its reverse (42400504), we get a palindrome (447404744).

The spelling of 405004240 in words is "four hundred five million, four thousand, two hundred forty".