1480517280 has 432 divisors, whose sum is σ = 5764416840. Its totient is φ = 345354240.

The previous prime is 1480517279. The next prime is 1480517321. The reversal of 1480517280 is 827150841.

1480517280 is a `hidden beast` number, since 1 + 480 + 5 + 172 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1435197456 + 45319824 = 37884^2 + 6732^2 .

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 71 ways as a sum of consecutive naturals, for example, 5052814 + ... + 5053106.

Almost surely, 2^1480517280 is an apocalyptic number.

1480517280 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 1480517280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882208420).

1480517280 is an abundant number, since it is smaller than the sum of its proper divisors (4283899560).

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

1480517280 is a wasteful number, since it uses less digits than its factorization.

1480517280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1480517280 is about 38477.4905626653. The cubic root of 1480517280 is about 1139.7365965769.

The spelling of 1480517280 in words is "one billion, four hundred eighty million, five hundred seventeen thousand, two hundred eighty".