405534720 has 192 divisors, whose sum is σ = 1331890560. Its totient is φ = 105283584.

The previous prime is 405534713. The next prime is 405534721. The reversal of 405534720 is 27435504.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405534721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1320807 + ... + 1321113.

It is an arithmetic number, because the mean of its divisors is an integer number (6936930).

Almost surely, 2^405534720 is an apocalyptic number.

405534720 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 405534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665945280).

405534720 is an abundant number, since it is smaller than the sum of its proper divisors (926355840).

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

405534720 is a wasteful number, since it uses less digits than its factorization.

405534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 405534720 is about 20137.8926404925. The cubic root of 405534720 is about 740.1890921690.

The spelling of 405534720 in words is "four hundred five million, five hundred thirty-four thousand, seven hundred twenty".