405250560 has 640 divisors, whose sum is σ = 1732389120. Its totient is φ = 88473600.

The previous prime is 405250477. The next prime is 405250567. The reversal of 405250560 is 65052504.

405250560 is a `hidden beast` number, since 4 + 0 + 52 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405250567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9884140 + ... + 9884180.

It is an arithmetic number, because the mean of its divisors is an integer number (2706858).

Almost surely, 2^405250560 is an apocalyptic number.

405250560 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 405250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

405250560 is an abundant number, since it is smaller than the sum of its proper divisors (1327138560).

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

405250560 is a wasteful number, since it uses less digits than its factorization.

405250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 405250560 is about 20130.8360482122. The cubic root of 405250560 is about 740.0161671657.

The spelling of 405250560 in words is "four hundred five million, two hundred fifty thousand, five hundred sixty".