4758246900 has 216 divisors, whose sum is σ = 16978538304. Its totient is φ = 1103308800.

The previous prime is 4758246887. The next prime is 4758246901. The reversal of 4758246900 is 96428574.

It is a happy number.

4758246900 is a `hidden beast` number, since 4 + 7 + 582 + 4 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×4758246900² = 45281827122719220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758246901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217252 + ... + 238148.

It is an arithmetic number, because the mean of its divisors is an integer number (78604344).

Almost surely, 2^4758246900 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 4758246900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489269152).

4758246900 is an abundant number, since it is smaller than the sum of its proper divisors (12220291404).

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

4758246900 is a wasteful number, since it uses less digits than its factorization.

4758246900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20951 (or 20941 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4758246900 is about 68980.0471150897. The cubic root of 4758246900 is about 1681.9599786504.

The spelling of 4758246900 in words is "four billion, seven hundred fifty-eight million, two hundred forty-six thousand, nine hundred".