1429557264 has 120 divisors (see below), whose sum is σ = 4301331840. Its totient is φ = 441794304.

The previous prime is 1429557257. The next prime is 1429557299. The reversal of 1429557264 is 4627559241.

1429557264 is a `hidden beast` number, since 14 + 2 + 9 + 5 + 572 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123034 + ... + 134150.

It is an arithmetic number, because the mean of its divisors is an integer number (35844432).

Almost surely, 2^1429557264 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 1429557264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150665920).

1429557264 is an abundant number, since it is smaller than the sum of its proper divisors (2871774576).

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

1429557264 is a wasteful number, since it uses less digits than its factorization.

1429557264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11188 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 1429557264 is about 37809.4864286729. The cubic root of 1429557264 is about 1126.5068897211.

The spelling of 1429557264 in words is "one billion, four hundred twenty-nine million, five hundred fifty-seven thousand, two hundred sixty-four".