5730414480 has 240 divisors, whose sum is σ = 22703975424. Its totient is φ = 1267522560.

The previous prime is 5730414463. The next prime is 5730414499. The reversal of 5730414480 is 844140375.

5730414480 is a `hidden beast` number, since 573 + 0 + 4 + 1 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5730414480² = 65675300225187340800, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137902 + ... + 174578.

Almost surely, 2^5730414480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5730414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351987712).

5730414480 is an abundant number, since it is smaller than the sum of its proper divisors (16973560944).

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

5730414480 is a wasteful number, since it uses less digits than its factorization.

5730414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36734 (or 36725 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5730414480 is about 75699.5011872601. The cubic root of 5730414480 is about 1789.4875388705.

The spelling of 5730414480 in words is "five billion, seven hundred thirty million, four hundred fourteen thousand, four hundred eighty".