405173664 has 240 divisors, whose sum is σ = 1380189888. Its totient is φ = 114213888.

The previous prime is 405173663. The next prime is 405173669. The reversal of 405173664 is 466371504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (405173663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2485647 + ... + 2485809.

Almost surely, 2^405173664 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 405173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690094944).

405173664 is an abundant number, since it is smaller than the sum of its proper divisors (975016224).

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

405173664 is a wasteful number, since it uses less digits than its factorization.

405173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 405173664 is about 20128.9260518290. The cubic root of 405173664 is about 739.9693583611.

The spelling of 405173664 in words is "four hundred five million, one hundred seventy-three thousand, six hundred sixty-four".