400006150452 has 144 divisors (see below), whose sum is σ = 1097869408272. Its totient is φ = 122302709760.

The previous prime is 400006150429. The next prime is 400006150471. The reversal of 400006150452 is 254051600004.

400006150452 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 0 + 615 + 0 + 45 + 2 = 666.

400006150452 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27266595876 + 372739554576 = 165126^2 + 610524^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25410328 + ... + 25426064.

It is an arithmetic number, because the mean of its divisors is an integer number (7624093113).

Almost surely, 2^400006150452 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 400006150452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548934704136).

400006150452 is an abundant number, since it is smaller than the sum of its proper divisors (697863257820).

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

400006150452 is a wasteful number, since it uses less digits than its factorization.

400006150452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16818 (or 16813 counting only the distinct ones).

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

Adding to 400006150452 its reverse (254051600004), we get a palindrome (654057750456).

The spelling of 400006150452 in words is "four hundred billion, six million, one hundred fifty thousand, four hundred fifty-two".