406085148 has 108 divisors (see below), whose sum is σ = 1246124880. Its totient is φ = 110968704.

The previous prime is 406085131. The next prime is 406085159. The reversal of 406085148 is 841580604.

406085148 is a `hidden beast` number, since 4 + 0 + 608 + 5 + 1 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35568 + ... + 45576.

Almost surely, 2^406085148 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 406085148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623062440).

406085148 is an abundant number, since it is smaller than the sum of its proper divisors (840039732).

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

406085148 is a wasteful number, since it uses less digits than its factorization.

406085148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 406085148 is about 20151.5544809824. The cubic root of 406085148 is about 740.5238243889.

The spelling of 406085148 in words is "four hundred six million, eighty-five thousand, one hundred forty-eight".