406993440 has 192 divisors, whose sum is σ = 1482727680. Its totient is φ = 91914240.

The previous prime is 406993427. The next prime is 406993459. The reversal of 406993440 is 44399604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298360 + ... + 299720.

It is an arithmetic number, because the mean of its divisors is an integer number (7722540).

Almost surely, 2^406993440 is an apocalyptic number.

406993440 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 406993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741363840).

406993440 is an abundant number, since it is smaller than the sum of its proper divisors (1075734240).

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

406993440 is a wasteful number, since it uses less digits than its factorization.

406993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 406993440 is about 20174.0784176130. The cubic root of 406993440 is about 741.0755239633.

The spelling of 406993440 in words is "four hundred six million, nine hundred ninety-three thousand, four hundred forty".