405216144 has 30 divisors (see below), whose sum is σ = 1134042806. Its totient is φ = 135072000.

The previous prime is 405216121. The next prime is 405216179. The reversal of 405216144 is 441612504.

405216144 is a `hidden beast` number, since 40 + 5 + 2 + 1 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324000000 + 81216144 = 18000^2 + 9012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1406857 + ... + 1407144.

Almost surely, 2^405216144 is an apocalyptic number.

It is an amenable number.

405216144 is an abundant number, since it is smaller than the sum of its proper divisors (728826662).

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

405216144 is a wasteful number, since it uses less digits than its factorization.

405216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814015 (or 2814006 counting only the distinct ones).

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

The square root of 405216144 is about 20129.9812220479. The cubic root of 405216144 is about 739.9952178897.

Adding to 405216144 its reverse (441612504), we get a palindrome (846828648).

It can be divided in two parts, 40521 and 6144, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 405216144 in words is "four hundred five million, two hundred sixteen thousand, one hundred forty-four".