1429766964 has 120 divisors (see below), whose sum is σ = 3836300160. Its totient is φ = 464196096.

The previous prime is 1429766957. The next prime is 1429766969. The reversal of 1429766964 is 4696679241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1429766964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429766969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2124132 + ... + 2124804.

It is an arithmetic number, because the mean of its divisors is an integer number (31969168).

Almost surely, 2^1429766964 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 1429766964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918150080).

1429766964 is an abundant number, since it is smaller than the sum of its proper divisors (2406533196).

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

1429766964 is a wasteful number, since it uses less digits than its factorization.

1429766964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 1429766964 is about 37812.2594405571. The cubic root of 1429766964 is about 1126.5619689989.

The spelling of 1429766964 in words is "one billion, four hundred twenty-nine million, seven hundred sixty-six thousand, nine hundred sixty-four".