406958080 has 104 divisors (see below), whose sum is σ = 1009655424. Its totient is φ = 157286400.

The previous prime is 406958077. The next prime is 406958099. The reversal of 406958080 is 80859604.

It is a super-2 number, since 2×406958080² = 331229757754572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634560 + ... + 635200.

Almost surely, 2^406958080 is an apocalyptic number.

406958080 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 406958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504827712).

406958080 is an abundant number, since it is smaller than the sum of its proper divisors (602697344).

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

406958080 is an equidigital number, since it uses as much as digits as its factorization.

406958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 406958080 is about 20173.2020264508. The cubic root of 406958080 is about 741.0540615457.

The spelling of 406958080 in words is "four hundred six million, nine hundred fifty-eight thousand, eighty".