405114640 has 160 divisors (see below), whose sum is σ = 1141641216. Its totient is φ = 130690560.

The previous prime is 405114631. The next prime is 405114679. The reversal of 405114640 is 46411504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914259 + ... + 914701.

Almost surely, 2^405114640 is an apocalyptic number.

405114640 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 405114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570820608).

405114640 is an abundant number, since it is smaller than the sum of its proper divisors (736526576).

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

405114640 is a wasteful number, since it uses less digits than its factorization.

405114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 405114640 is about 20127.4598496681. The cubic root of 405114640 is about 739.9334247387.

The spelling of 405114640 in words is "four hundred five million, one hundred fourteen thousand, six hundred forty".