4976058000 has 240 divisors, whose sum is σ = 16596223488. Its totient is φ = 1282656000.

The previous prime is 4976057971. The next prime is 4976058023. The reversal of 4976058000 is 8506794.

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

It is a super-2 number, since 2×4976058000² = 49522306438728000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4976058000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5765569 + ... + 5766431.

Almost surely, 2^4976058000 is an apocalyptic number.

4976058000 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 4976058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298111744).

4976058000 is an abundant number, since it is smaller than the sum of its proper divisors (11620165488).

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

4976058000 is a wasteful number, since it uses less digits than its factorization.

4976058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4976058000 is about 70541.1794627790. The cubic root of 4976058000 is about 1707.2422290370.

The spelling of 4976058000 in words is "four billion, nine hundred seventy-six million, fifty-eight thousand".