405920944 has 160 divisors (see below), whose sum is σ = 979937280. Its totient is φ = 160358400.

The previous prime is 405920929. The next prime is 405920971. The reversal of 405920944 is 449029504.

It is a happy number.

It is a super-2 number, since 2×405920944² = 329543625555702272, which contains 22 as substring.

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, 4184704 + ... + 4184800.

It is an arithmetic number, because the mean of its divisors is an integer number (6124608).

Almost surely, 2^405920944 is an apocalyptic number.

405920944 is a gapful number since it is divisible by the number (44) 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 405920944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489968640).

405920944 is an abundant number, since it is smaller than the sum of its proper divisors (574016336).

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

405920944 is a wasteful number, since it uses less digits than its factorization.

405920944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 405920944 is about 20147.4798424021. The cubic root of 405920944 is about 740.4239985536.

The spelling of 405920944 in words is "four hundred five million, nine hundred twenty thousand, nine hundred forty-four".