405613460 has 48 divisors (see below), whose sum is σ = 982606464. Its totient is φ = 137762688.

The previous prime is 405613457. The next prime is 405613493. The reversal of 405613460 is 64316504.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1442 + ... + 28518.

It is an arithmetic number, because the mean of its divisors is an integer number (20470968).

Almost surely, 2^405613460 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 405613460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491303232).

405613460 is an abundant number, since it is smaller than the sum of its proper divisors (576993004).

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

405613460 is a wasteful number, since it uses less digits than its factorization.

405613460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27200 (or 27198 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 405613460 is about 20139.8475664539. The cubic root of 405613460 is about 740.2369949457.

Adding to 405613460 its reverse (64316504), we get a palindrome (469929964).

The spelling of 405613460 in words is "four hundred five million, six hundred thirteen thousand, four hundred sixty".