405828504 has 48 divisors (see below), whose sum is σ = 1110021120. Its totient is φ = 133934400.

The previous prime is 405828463. The next prime is 405828517.

405828504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20632 + ... + 35175.

It is an arithmetic number, because the mean of its divisors is an integer number (23125440).

Almost surely, 2^405828504 is an apocalyptic number.

It is an amenable number.

405828504 is an abundant number, since it is smaller than the sum of its proper divisors (704192616).

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

405828504 is a wasteful number, since it uses less digits than its factorization.

405828504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55920 (or 55913 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 405828504 is about 20145.1856283331. The cubic root of 405828504 is about 740.3677889297.

The spelling of 405828504 in words is "four hundred five million, eight hundred twenty-eight thousand, five hundred four".