405112064 has 72 divisors (see below), whose sum is σ = 964440960. Its totient is φ = 166053888.

The previous prime is 405112063. The next prime is 405112067. The reversal of 405112064 is 460211504.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405112063) 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, 36302 + ... + 46130.

Almost surely, 2^405112064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482220480).

405112064 is an abundant number, since it is smaller than the sum of its proper divisors (559328896).

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

405112064 is an equidigital number, since it uses as much as digits as its factorization.

405112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 405112064 is about 20127.3958573880. The cubic root of 405112064 is about 739.9318563986.

Adding to 405112064 its reverse (460211504), we get a palindrome (865323568).

The spelling of 405112064 in words is "four hundred five million, one hundred twelve thousand, sixty-four".