409501233252 has 36 divisors (see below), whose sum is σ = 1037859360720. Its totient is φ = 136140247152.

The previous prime is 409501233221. The next prime is 409501233257. The reversal of 409501233252 is 252332105904.

409501233252 is a `hidden beast` number, since 409 + 50 + 123 + 32 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×409501233252³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (409501233257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14992998 + ... + 15020285.

Almost surely, 2^409501233252 is an apocalyptic number.

It is an amenable number.

409501233252 is an abundant number, since it is smaller than the sum of its proper divisors (628358127468).

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

409501233252 is a wasteful number, since it uses less digits than its factorization.

409501233252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30013672 (or 30013667 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 409501233252 in words is "four hundred nine billion, five hundred one million, two hundred thirty-three thousand, two hundred fifty-two".