4562434560 has 240 divisors, whose sum is σ = 15260835744. Its totient is φ = 1162715136.

The previous prime is 4562434559. The next prime is 4562434571. The reversal of 4562434560 is 654342654.

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

It is a super-2 number, since 2×4562434560² = 41631618228564787200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4062159 + ... + 4063281.

Almost surely, 2^4562434560 is an apocalyptic number.

4562434560 is a gapful number since it is divisible by the number (40) 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 4562434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630417872).

4562434560 is an abundant number, since it is smaller than the sum of its proper divisors (10698401184).

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

4562434560 is a wasteful number, since it uses less digits than its factorization.

4562434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The square root of 4562434560 is about 67545.7960201817. The cubic root of 4562434560 is about 1658.5639295393.

The spelling of 4562434560 in words is "four billion, five hundred sixty-two million, four hundred thirty-four thousand, five hundred sixty".