429845451876 has 81 divisors (see below), whose sum is σ = 1097389232121. Its totient is φ = 141866976384.

The previous prime is 429845451859. The next prime is 429845451881. The reversal of 429845451876 is 678154548924.

It is a happy number.

The square root of 429845451876 is 655626.

It is a perfect power (a square), and thus also a powerful number.

429845451876 is a `hidden beast` number, since 4 + 2 + 9 + 8 + 4 + 545 + 1 + 87 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7574220900 + 422271230976 = 87030^2 + 649824^2 .

It is a super-2 number, since 2×429845451876² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 444513945 + ... + 444514911.

Almost surely, 2^429845451876 is an apocalyptic number.

429845451876 is the 655626-th square number.

It is an amenable number.

429845451876 is an abundant number, since it is smaller than the sum of its proper divisors (667543780245).

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

429845451876 is an equidigital number, since it uses as much as digits as its factorization.

429845451876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 1085 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

It can be divided in two parts, 429845 and 451876, that added together give a square (881721 = 939²).

The spelling of 429845451876 in words is "four hundred twenty-nine billion, eight hundred forty-five million, four hundred fifty-one thousand, eight hundred seventy-six".