405612144 has 160 divisors (see below), whose sum is σ = 1343485440. Its totient is φ = 114766848.

The previous prime is 405612113. The next prime is 405612157. The reversal of 405612144 is 441216504.

405612144 is a `hidden beast` number, since 4 + 0 + 5 + 612 + 1 + 44 = 666.

It is a super-2 number, since 2×405612144² = 329042422720553472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341119 + ... + 342305.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 2^405612144 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 405612144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671742720).

405612144 is an abundant number, since it is smaller than the sum of its proper divisors (937873296).

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

405612144 is a wasteful number, since it uses less digits than its factorization.

405612144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 405612144 is about 20139.8148948792. The cubic root of 405612144 is about 740.2361943864.

Adding to 405612144 its reverse (441216504), we get a palindrome (846828648).

The spelling of 405612144 in words is "four hundred five million, six hundred twelve thousand, one hundred forty-four".