1429001460 has 192 divisors, whose sum is σ = 4562288640. Its totient is φ = 371226240.

The previous prime is 1429001459. The next prime is 1429001473. The reversal of 1429001460 is 641009241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4594705 + ... + 4595015.

It is an arithmetic number, because the mean of its divisors is an integer number (23761920).

Almost surely, 2^1429001460 is an apocalyptic number.

1429001460 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 1429001460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281144320).

1429001460 is an abundant number, since it is smaller than the sum of its proper divisors (3133287180).

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

1429001460 is a wasteful number, since it uses less digits than its factorization.

1429001460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1429001460 is about 37802.1356539548. The cubic root of 1429001460 is about 1126.3608775693.

The spelling of 1429001460 in words is "one billion, four hundred twenty-nine million, one thousand, four hundred sixty".