1429648080 has 320 divisors, whose sum is σ = 5300994048. Its totient is φ = 311869440.

The previous prime is 1429648067. The next prime is 1429648093. The reversal of 1429648080 is 808469241.

It is an interprime number because it is at equal distance from previous prime (1429648067) and next prime (1429648093).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5051619 + ... + 5051901.

Almost surely, 2^1429648080 is an apocalyptic number.

1429648080 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 1429648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650497024).

1429648080 is an abundant number, since it is smaller than the sum of its proper divisors (3871345968).

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

1429648080 is a wasteful number, since it uses less digits than its factorization.

1429648080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1429648080 is about 37810.6873780417. The cubic root of 1429648080 is about 1126.5307438858.

The spelling of 1429648080 in words is "one billion, four hundred twenty-nine million, six hundred forty-eight thousand, eighty".