1430132480 has 288 divisors, whose sum is σ = 4264928640. Its totient is φ = 448266240.

The previous prime is 1430132471. The next prime is 1430132491. The reversal of 1430132480 is 842310341.

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 31 ways as a sum of consecutive naturals, for example, 6245006 + ... + 6245234.

It is an arithmetic number, because the mean of its divisors is an integer number (14808780).

Almost surely, 2^1430132480 is an apocalyptic number.

1430132480 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 1430132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132464320).

1430132480 is an abundant number, since it is smaller than the sum of its proper divisors (2834796160).

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

1430132480 is a wasteful number, since it uses less digits than its factorization.

1430132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1430132480 is about 37817.0924318621. The cubic root of 1430132480 is about 1126.6579616443.

The spelling of 1430132480 in words is "one billion, four hundred thirty million, one hundred thirty-two thousand, four hundred eighty".