1545972480 has 720 divisors, whose sum is σ = 6315665664. Its totient is φ = 358318080.

The previous prime is 1545972451. The next prime is 1545972497. The reversal of 1545972480 is 842795451.

1545972480 is a `hidden beast` number, since 1 + 54 + 59 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2886 × 186 × 2880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41783022 + ... + 41783058.

Almost surely, 2^1545972480 is an apocalyptic number.

1545972480 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 1545972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157832832).

1545972480 is an abundant number, since it is smaller than the sum of its proper divisors (4769693184).

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

1545972480 is a wasteful number, since it uses less digits than its factorization.

1545972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1545972480 is about 39318.8565449200. The cubic root of 1545972480 is about 1156.2912864537.

The spelling of 1545972480 in words is "one billion, five hundred forty-five million, nine hundred seventy-two thousand, four hundred eighty".