4930417152 has 240 divisors, whose sum is σ = 14745931200. Its totient is φ = 1584930816.

The previous prime is 4930417147. The next prime is 4930417169. The reversal of 4930417152 is 2517140394.

4930417152 is a `hidden beast` number, since 4 + 93 + 0 + 417 + 152 = 666.

It is a super-2 number, since 2×4930417152² = 48618026585471582208, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29523373 + ... + 29523539.

It is an arithmetic number, because the mean of its divisors is an integer number (61441380).

Almost surely, 2^4930417152 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 4930417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372965600).

4930417152 is an abundant number, since it is smaller than the sum of its proper divisors (9815514048).

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

4930417152 is a wasteful number, since it uses less digits than its factorization.

4930417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4930417152 is about 70216.9292407465. The cubic root of 4930417152 is about 1702.0065294698.

The spelling of 4930417152 in words is "four billion, nine hundred thirty million, four hundred seventeen thousand, one hundred fifty-two".