405946240 has 256 divisors, whose sum is σ = 1190707200. Its totient is φ = 129392640.

The previous prime is 405946231. The next prime is 405946241. The reversal of 405946240 is 42649504.

It is a junction number, because it is equal to n+sod(n) for n = 405946196 and 405946205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405946241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5138521 + ... + 5138599.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2^405946240 is an apocalyptic number.

405946240 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 405946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595353600).

405946240 is an abundant number, since it is smaller than the sum of its proper divisors (784760960).

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

405946240 is a wasteful number, since it uses less digits than its factorization.

405946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 405946240 is about 20148.1076034450. The cubic root of 405946240 is about 740.4393787047.

The spelling of 405946240 in words is "four hundred five million, nine hundred forty-six thousand, two hundred forty".