1302054480 has 320 divisors, whose sum is σ = 4837190400. Its totient is φ = 320716800.

The previous prime is 1302054473. The next prime is 1302054493. The reversal of 1302054480 is 844502031.

1302054480 is a `hidden beast` number, since 13 + 0 + 205 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2166180 + ... + 2166780.

It is an arithmetic number, because the mean of its divisors is an integer number (15116220).

Almost surely, 2^1302054480 is an apocalyptic number.

1302054480 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 1302054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418595200).

1302054480 is an abundant number, since it is smaller than the sum of its proper divisors (3535135920).

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

1302054480 is a wasteful number, since it uses less digits than its factorization.

1302054480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1302054480 is about 36083.9920186223. The cubic root of 1302054480 is about 1091.9675150341.

The spelling of 1302054480 in words is "one billion, three hundred two million, fifty-four thousand, four hundred eighty".