405964320 has 96 divisors (see below), whose sum is σ = 1287171648. Its totient is φ = 107547648.

The previous prime is 405964319. The next prime is 405964327. The reversal of 405964320 is 23469504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×405964320² = 329614058226124800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405964327) 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, 72667 + ... + 78053.

It is an arithmetic number, because the mean of its divisors is an integer number (13408038).

Almost surely, 2^405964320 is an apocalyptic number.

405964320 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 405964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643585824).

405964320 is an abundant number, since it is smaller than the sum of its proper divisors (881207328).

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

405964320 is a wasteful number, since it uses less digits than its factorization.

405964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 405964320 is about 20148.5562758228. The cubic root of 405964320 is about 740.4503710841.

The spelling of 405964320 in words is "four hundred five million, nine hundred sixty-four thousand, three hundred twenty".