1429238880 has 288 divisors, whose sum is σ = 5100496128. Its totient is φ = 364032000.

The previous prime is 1429238879. The next prime is 1429238891. The reversal of 1429238880 is 888329241.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1429238880³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4508482 + ... + 4508798.

It is an arithmetic number, because the mean of its divisors is an integer number (17710056).

Almost surely, 2^1429238880 is an apocalyptic number.

1429238880 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 1429238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550248064).

1429238880 is an abundant number, since it is smaller than the sum of its proper divisors (3671257248).

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

1429238880 is a wasteful number, since it uses less digits than its factorization.

1429238880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1429238880 is about 37805.2758222976. The cubic root of 1429238880 is about 1126.4232534773.

The spelling of 1429238880 in words is "one billion, four hundred twenty-nine million, two hundred thirty-eight thousand, eight hundred eighty".