1429057364 has 48 divisors (see below), whose sum is σ = 2995372800. Its totient is φ = 595879200.

The previous prime is 1429057363. The next prime is 1429057379. The reversal of 1429057364 is 4637509241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429057363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36689 + ... + 64839.

It is an arithmetic number, because the mean of its divisors is an integer number (62403600).

Almost surely, 2^1429057364 is an apocalyptic number.

1429057364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429057364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497686400).

1429057364 is an abundant number, since it is smaller than the sum of its proper divisors (1566315436).

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

1429057364 is a wasteful number, since it uses less digits than its factorization.

1429057364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28213 (or 28197 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 1429057364 is about 37802.8750758458. The cubic root of 1429057364 is about 1126.3755655080.

The spelling of 1429057364 in words is "one billion, four hundred twenty-nine million, fifty-seven thousand, three hundred sixty-four".