405097590 has 64 divisors (see below), whose sum is σ = 1032917184. Its totient is φ = 101326848.

The previous prime is 405097577. The next prime is 405097631. The reversal of 405097590 is 95790504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170692 + ... + 173048.

It is an arithmetic number, because the mean of its divisors is an integer number (16139331).

Almost surely, 2^405097590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405097590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516458592).

405097590 is an abundant number, since it is smaller than the sum of its proper divisors (627819594).

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

405097590 is a wasteful number, since it uses less digits than its factorization.

405097590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721.

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 405097590 is about 20127.0362944970. The cubic root of 405097590 is about 739.9230441035.

The spelling of 405097590 in words is "four hundred five million, ninety-seven thousand, five hundred ninety".