1480245312 has 420 divisors, whose sum is σ = 5207843280. Its totient is φ = 369847296.

The previous prime is 1480245311. The next prime is 1480245313. The reversal of 1480245312 is 2135420841.

It is an interprime number because it is at equal distance from previous prime (1480245311) and next prime (1480245313).

It is a super-2 number, since 2×1480245312² = 4382252367395954688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1480245312.

It is not an unprimeable number, because it can be changed into a prime (1480245311) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77907639 + ... + 77907657.

Almost surely, 2^1480245312 is an apocalyptic number.

1480245312 is a gapful number since it is divisible by the number (12) 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 1480245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603921640).

1480245312 is an abundant number, since it is smaller than the sum of its proper divisors (3727597968).

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

1480245312 is an equidigital number, since it uses as much as digits as its factorization.

1480245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1480245312 is about 38473.9562821397. The cubic root of 1480245312 is about 1139.6668032082. Note that the first 3 decimals are identical.

The spelling of 1480245312 in words is "one billion, four hundred eighty million, two hundred forty-five thousand, three hundred twelve".