405940000 has 60 divisors (see below), whose sum is σ = 998722494. Its totient is φ = 162368000.

The previous prime is 405939979. The next prime is 405940013. The reversal of 405940000 is 49504.

It can be written as a sum of positive squares in 5 ways, for example, as 3857296 + 402082704 = 1964^2 + 20052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9852 + ... + 30148.

Almost surely, 2^405940000 is an apocalyptic number.

405940000 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 405940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499361247).

405940000 is an abundant number, since it is smaller than the sum of its proper divisors (592782494).

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

405940000 is an equidigital number, since it uses as much as digits as its factorization.

405940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20327 (or 20304 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 405940000 is about 20147.9527495972. The cubic root of 405940000 is about 740.4355847989.

Adding to 405940000 its reverse (49504), we get a palindrome (405989504).

The spelling of 405940000 in words is "four hundred five million, nine hundred forty thousand".