405644148 has 270 divisors, whose sum is σ = 1359588594. Its totient is φ = 101352384.

The previous prime is 405644147. The next prime is 405644159. The reversal of 405644148 is 841446504.

It is a happy number.

405644148 is a `hidden beast` number, since 4 + 0 + 5 + 644 + 1 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 280830564 + 124813584 = 16758^2 + 11172^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405644147) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21349683 + ... + 21349701.

Almost surely, 2^405644148 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 405644148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679794297).

405644148 is an abundant number, since it is smaller than the sum of its proper divisors (953944446).

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

405644148 is a wasteful number, since it uses less digits than its factorization.

405644148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 405644148 is about 20140.6094247418. The cubic root of 405644148 is about 740.2556628174.

The spelling of 405644148 in words is "four hundred five million, six hundred forty-four thousand, one hundred forty-eight".