406075944 has 64 divisors (see below), whose sum is σ = 1052352000. Its totient is φ = 130440960.

The previous prime is 406075927. The next prime is 406075979. The reversal of 406075944 is 449570604.

It is a happy number.

It is a super-2 number, since 2×406075944² = 329795344590982272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 199122 + ... + 201150.

It is an arithmetic number, because the mean of its divisors is an integer number (16443000).

Almost surely, 2^406075944 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 406075944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176000).

406075944 is an abundant number, since it is smaller than the sum of its proper divisors (646276056).

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

406075944 is a wasteful number, since it uses less digits than its factorization.

406075944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 406075944 is about 20151.3261102092. The cubic root of 406075944 is about 740.5182296404.

The spelling of 406075944 in words is "four hundred six million, seventy-five thousand, nine hundred forty-four".