1460130048 has 324 divisors, whose sum is σ = 4807273380. Its totient is φ = 423198720.

The previous prime is 1460130041. The next prime is 1460130079. The reversal of 1460130048 is 8400310641.

1460130048 is a `hidden beast` number, since 14 + 601 + 3 + 0 + 0 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 674337024 + 785793024 = 25968^2 + 28032^2 .

It is not an unprimeable number, because it can be changed into a prime (1460130041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35612908 + ... + 35612948.

Almost surely, 2^1460130048 is an apocalyptic number.

1460130048 is a gapful number since it is divisible by the number (18) 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 1460130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403636690).

1460130048 is an abundant number, since it is smaller than the sum of its proper divisors (3347143332).

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

1460130048 is a wasteful number, since it uses less digits than its factorization.

1460130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1460130048 is about 38211.6480670489. The cubic root of 1460130048 is about 1134.4808762777.

Adding to 1460130048 its reverse (8400310641), we get a palindrome (9860440689).

The spelling of 1460130048 in words is "one billion, four hundred sixty million, one hundred thirty thousand, forty-eight".