1429920 has 96 divisors (see below), whose sum is σ = 5019840. Its totient is φ = 380160.

The previous prime is 1429913. The next prime is 1429927. The reversal of 1429920 is 299241.

It is an interprime number because it is at equal distance from previous prime (1429913) and next prime (1429927).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1429927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4155 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (52290).

2^1429920 is an apocalyptic number.

1429920 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 1429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509920).

1429920 is an abundant number, since it is smaller than the sum of its proper divisors (3589920).

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

1429920 is a wasteful number, since it uses less digits than its factorization.

1429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1429920 is about 1195.7926241619. The cubic root of 1429920 is about 112.6602161653.

The spelling of 1429920 in words is "one million, four hundred twenty-nine thousand, nine hundred twenty".