1580729472 has 384 divisors, whose sum is σ = 5658307200. Its totient is φ = 425502720.

The previous prime is 1580729471. The next prime is 1580729483. The reversal of 1580729472 is 2749270851.

It is a happy number.

1580729472 is a `hidden beast` number, since 1 + 580 + 7 + 29 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1580729472³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1580729471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8733222 + ... + 8733402.

It is an arithmetic number, because the mean of its divisors is an integer number (14735175).

Almost surely, 2^1580729472 is an apocalyptic number.

1580729472 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 1580729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829153600).

1580729472 is an abundant number, since it is smaller than the sum of its proper divisors (4077577728).

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

1580729472 is a wasteful number, since it uses less digits than its factorization.

1580729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1580729472 is about 39758.3886997449. The cubic root of 1580729472 is about 1164.8925028678.

The spelling of 1580729472 in words is "one billion, five hundred eighty million, seven hundred twenty-nine thousand, four hundred seventy-two".