1430880 has 96 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 345600.

The previous prime is 1430879. The next prime is 1430881. The reversal of 1430880 is 880341.

It is an interprime number because it is at equal distance from previous prime (1430879) and next prime (1430881).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1430880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430881) 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, 5145 + ... + 5415.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2^1430880 is an apocalyptic number.

1430880 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 1430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467584).

1430880 is an abundant number, since it is smaller than the sum of its proper divisors (3504288).

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

1430880 is a wasteful number, since it uses less digits than its factorization.

1430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1430880 is about 1196.1939642048. The cubic root of 1430880 is about 112.6854226134.

The spelling of 1430880 in words is "one million, four hundred thirty thousand, eight hundred eighty".