1430472960 has 576 divisors, whose sum is σ = 5953436160. Its totient is φ = 322486272.

The previous prime is 1430472929. The next prime is 1430473039. The reversal of 1430472960 is 692740341.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19595484 + ... + 19595556.

Almost surely, 2^1430472960 is an apocalyptic number.

1430472960 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 1430472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976718080).

1430472960 is an abundant number, since it is smaller than the sum of its proper divisors (4522963200).

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

1430472960 is an frugal number, since it uses more digits than its factorization.

1430472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1430472960 is about 37821.5938320954. The cubic root of 1430472960 is about 1126.7473645656.

The spelling of 1430472960 in words is "one billion, four hundred thirty million, four hundred seventy-two thousand, nine hundred sixty".