405212652 has 108 divisors (see below), whose sum is σ = 1145265240. Its totient is φ = 123844032.

The previous prime is 405212651. The next prime is 405212657. The reversal of 405212652 is 256212504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

405212652 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 1 + 2 + 652 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (405212651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2719474 + ... + 2719622.

Almost surely, 2^405212652 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 405212652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572632620).

405212652 is an abundant number, since it is smaller than the sum of its proper divisors (740052588).

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

405212652 is a wasteful number, since it uses less digits than its factorization.

405212652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 405212652 is about 20129.8944855655. The cubic root of 405212652 is about 739.9930922170.

Multiplying 405212652 by its sum of digits (27), we get a square (10940741604 = 104598²).

405212652 divided by its sum of digits (27) gives a square (15007876 = 3874²).

Multiplying 405212652 by its product of nonzero digits (4800), we get a square (1945020729600 = 1394640²).

The spelling of 405212652 in words is "four hundred five million, two hundred twelve thousand, six hundred fifty-two".