402829256772 has 36 divisors (see below), whose sum is σ = 1022488022556. Its totient is φ = 133719252480.

The previous prime is 402829256759. The next prime is 402829256777. The reversal of 402829256772 is 277652928204.

402829256772 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 2 + 9 + 2 + 567 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 233236838916 + 169592417856 = 482946^2 + 411816^2 .

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

It is a super-2 number, since 2×402829256772² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402829256777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23206473 + ... + 23223824.

It is an arithmetic number, because the mean of its divisors is an integer number (28402445071).

Almost surely, 2^402829256772 is an apocalyptic number.

It is an amenable number.

402829256772 is an abundant number, since it is smaller than the sum of its proper divisors (619658765784).

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

402829256772 is a wasteful number, since it uses less digits than its factorization.

402829256772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46430548 (or 46430543 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 402829256772 in words is "four hundred two billion, eight hundred twenty-nine million, two hundred fifty-six thousand, seven hundred seventy-two".