1429238400 has 192 divisors, whose sum is σ = 4912989120. Its totient is φ = 364503040.

The previous prime is 1429238339. The next prime is 1429238417. The reversal of 1429238400 is 48329241.

It is a tau number, because it is divible by the number of its divisors (192).

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, 217564 + ... + 224036.

It is an arithmetic number, because the mean of its divisors is an integer number (25588485).

Almost surely, 2^1429238400 is an apocalyptic number.

1429238400 is a gapful number since it is divisible by the number (10) 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 1429238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456494560).

1429238400 is an abundant number, since it is smaller than the sum of its proper divisors (3483750720).

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

1429238400 is a wasteful number, since it uses less digits than its factorization.

1429238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1429238400 is about 37805.2694739768. The cubic root of 1429238400 is about 1126.4231273768.

The spelling of 1429238400 in words is "one billion, four hundred twenty-nine million, two hundred thirty-eight thousand, four hundred".