1532580480 has 256 divisors, whose sum is σ = 5604940800. Its totient is φ = 395366400.

The previous prime is 1532580457. The next prime is 1532580499. The reversal of 1532580480 is 840852351.

It is a happy number.

1532580480 is a `hidden beast` number, since 1 + 5 + 32 + 580 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534250 + ... + 537110.

It is an arithmetic number, because the mean of its divisors is an integer number (21894300).

Almost surely, 2^1532580480 is an apocalyptic number.

1532580480 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 1532580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802470400).

1532580480 is an abundant number, since it is smaller than the sum of its proper divisors (4072360320).

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

1532580480 is a wasteful number, since it uses less digits than its factorization.

1532580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1532580480 is about 39148.1861648787. The cubic root of 1532580480 is about 1152.9428045808.

The spelling of 1532580480 in words is "one billion, five hundred thirty-two million, five hundred eighty thousand, four hundred eighty".