405320970 has 96 divisors (see below), whose sum is σ = 1065576384. Its totient is φ = 98327040.

The previous prime is 405320963. The next prime is 405321017. The reversal of 405320970 is 79023504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489697 + ... + 490523.

It is an arithmetic number, because the mean of its divisors is an integer number (11099754).

Almost surely, 2^405320970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405320970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532788192).

405320970 is an abundant number, since it is smaller than the sum of its proper divisors (660255414).

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

405320970 is a wasteful number, since it uses less digits than its factorization.

405320970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 405320970 is about 20132.5847818903. The cubic root of 405320970 is about 740.0590225627.

The spelling of 405320970 in words is "four hundred five million, three hundred twenty thousand, nine hundred seventy".