1429451520 has 432 divisors, whose sum is σ = 5435797248. Its totient is φ = 319119360.

The previous prime is 1429451519. The next prime is 1429451531. The reversal of 1429451520 is 251549241.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13359307 + ... + 13359413.

It is an arithmetic number, because the mean of its divisors is an integer number (12582864).

Almost surely, 2^1429451520 is an apocalyptic number.

1429451520 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 1429451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717898624).

1429451520 is an abundant number, since it is smaller than the sum of its proper divisors (4006345728).

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

1429451520 is a wasteful number, since it uses less digits than its factorization.

1429451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1429451520 is about 37808.0880235962. The cubic root of 1429451520 is about 1126.4791132234.

The spelling of 1429451520 in words is "one billion, four hundred twenty-nine million, four hundred fifty-one thousand, five hundred twenty".