4754415456 has 144 divisors (see below), whose sum is σ = 15743748384. Its totient is φ = 1332744192.

The previous prime is 4754415437. The next prime is 4754415499. The reversal of 4754415456 is 6545144574.

4754415456 is a `hidden beast` number, since 4 + 7 + 544 + 1 + 54 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 84600 + ... + 129096.

It is an arithmetic number, because the mean of its divisors is an integer number (109331586).

Almost surely, 2^4754415456 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 4754415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871874192).

4754415456 is an abundant number, since it is smaller than the sum of its proper divisors (10989332928).

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

4754415456 is a wasteful number, since it uses less digits than its factorization.

4754415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44573 (or 44562 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 4754415456 is about 68952.2694042770. The cubic root of 4754415456 is about 1681.5084071589.

The spelling of 4754415456 in words is "four billion, seven hundred fifty-four million, four hundred fifteen thousand, four hundred fifty-six".