406025136 has 200 divisors, whose sum is σ = 1350360000. Its totient is φ = 116484480.

The previous prime is 406025131. The next prime is 406025171. The reversal of 406025136 is 631520604.

406025136 is a `hidden beast` number, since 4 + 0 + 602 + 51 + 3 + 6 = 666.

It is a super-2 number, since 2×406025136² = 329712822127636992, which contains 22 as substring.

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 (406025131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270115 + ... + 271613.

It is an arithmetic number, because the mean of its divisors is an integer number (6751800).

Almost surely, 2^406025136 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 406025136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675180000).

406025136 is an abundant number, since it is smaller than the sum of its proper divisors (944334864).

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

406025136 is a wasteful number, since it uses less digits than its factorization.

406025136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 406025136 is about 20150.0654093231. The cubic root of 406025136 is about 740.4873439403.

The spelling of 406025136 in words is "four hundred six million, twenty-five thousand, one hundred thirty-six".