405752320 has 80 divisors (see below), whose sum is σ = 977783400. Its totient is φ = 161480704.

The previous prime is 405752317. The next prime is 405752327. The reversal of 405752320 is 23257504.

It can be written as a sum of positive squares in 4 ways, for example, as 327465216 + 78287104 = 18096^2 + 8848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (405752327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903456 + ... + 903904.

Almost surely, 2^405752320 is an apocalyptic number.

405752320 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 405752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488891700).

405752320 is an abundant number, since it is smaller than the sum of its proper divisors (572031080).

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

405752320 is an equidigital number, since it uses as much as digits as its factorization.

405752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 405752320 is about 20143.2946659676. The cubic root of 405752320 is about 740.3214576108.

The spelling of 405752320 in words is "four hundred five million, seven hundred fifty-two thousand, three hundred twenty".