405413440 has 112 divisors (see below), whose sum is σ = 1004541552. Its totient is φ = 155713536.

The previous prime is 405413389. The next prime is 405413447. The reversal of 405413440 is 44314504.

It can be written as a sum of positive squares in 8 ways, for example, as 2849344 + 402564096 = 1688^2 + 20064^2 .

It is not an unprimeable number, because it can be changed into a prime (405413447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1148304 + ... + 1148656.

It is an arithmetic number, because the mean of its divisors is an integer number (8969121).

Almost surely, 2^405413440 is an apocalyptic number.

405413440 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 405413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502270776).

405413440 is an abundant number, since it is smaller than the sum of its proper divisors (599128112).

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

405413440 is a wasteful number, since it uses less digits than its factorization.

405413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 405413440 is about 20134.8811767043. The cubic root of 405413440 is about 740.1152973502.

Adding to 405413440 its reverse (44314504), we get a palindrome (449727944).

The spelling of 405413440 in words is "four hundred five million, four hundred thirteen thousand, four hundred forty".