4630258080 has 672 divisors, whose sum is σ = 19276113024. Its totient is φ = 1028671488.

The previous prime is 4630257967. The next prime is 4630258093. The reversal of 4630258080 is 808520364.

4630258080 is a `hidden beast` number, since 46 + 30 + 2 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43273387 + ... + 43273493.

It is an arithmetic number, because the mean of its divisors is an integer number (28684692).

Almost surely, 2^4630258080 is an apocalyptic number.

4630258080 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 4630258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638056512).

4630258080 is an abundant number, since it is smaller than the sum of its proper divisors (14645854944).

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

4630258080 is a wasteful number, since it uses less digits than its factorization.

4630258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4630258080 is about 68045.9997354731. Note that the first 3 decimals coincide. The cubic root of 4630258080 is about 1666.7420772990.

Adding to 4630258080 its sum of digits (36), we get a square (4630258116 = 68046²).

The spelling of 4630258080 in words is "four billion, six hundred thirty million, two hundred fifty-eight thousand, eighty".