405794000 has 80 divisors (see below), whose sum is σ = 989039376. Its totient is φ = 161024000.

The previous prime is 405793981. The next prime is 405794003. The reversal of 405794000 is 497504.

It can be written as a sum of positive squares in 8 ways, for example, as 128504896 + 277289104 = 11336^2 + 16652^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405794003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273260 + ... + 274740.

Almost surely, 2^405794000 is an apocalyptic number.

405794000 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 405794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494519688).

405794000 is an abundant number, since it is smaller than the sum of its proper divisors (583245376).

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

405794000 is a wasteful number, since it uses less digits than its factorization.

405794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 405794000 is about 20144.3292268569. The cubic root of 405794000 is about 740.3468060318.

The spelling of 405794000 in words is "four hundred five million, seven hundred ninety-four thousand".