406225152 has 72 divisors (see below), whose sum is σ = 1201299680. Its totient is φ = 135406080.

The previous prime is 406225133. The next prime is 406225153. The reversal of 406225152 is 251522604.

406225152 is a `hidden beast` number, since 406 + 2 + 251 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (406225153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22474 + ... + 36297.

Almost surely, 2^406225152 is an apocalyptic number.

It is an amenable number.

406225152 is an abundant number, since it is smaller than the sum of its proper divisors (795074528).

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

406225152 is an equidigital number, since it uses as much as digits as its factorization.

406225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58796 (or 58776 counting only the distinct ones).

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

The square root of 406225152 is about 20155.0279583036. The cubic root of 406225152 is about 740.6089168756.

Adding to 406225152 its reverse (251522604), we get a palindrome (657747756).

The spelling of 406225152 in words is "four hundred six million, two hundred twenty-five thousand, one hundred fifty-two".