1429596100 has 81 divisors (see below), whose sum is σ = 3290627277. Its totient is φ = 539019360.

The previous prime is 1429596089. The next prime is 1429596143. The reversal of 1429596100 is 16959241.

The square root of 1429596100 is 37810.

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

It can be written as a sum of positive squares in only one way, i.e., 514654596 + 914941504 = 22686^2 + 30248^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1429596100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7183801 + ... + 7183999.

Almost surely, 2^1429596100 is an apocalyptic number.

1429596100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1429596100 is the 37810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429596100

1429596100 is an abundant number, since it is smaller than the sum of its proper divisors (1861031177).

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

1429596100 is a wasteful number, since it uses less digits than its factorization.

1429596100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The cubic root of 1429596100 is about 1126.5170906941.

It can be divided in two parts, 1429 and 596100, that added together give a square (597529 = 773²).

The spelling of 1429596100 in words is "one billion, four hundred twenty-nine million, five hundred ninety-six thousand, one hundred".