4258388904 has 512 divisors, whose sum is σ = 14708736000. Its totient is φ = 1016064000.

The previous prime is 4258388831. The next prime is 4258388917. The reversal of 4258388904 is 4098838524.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103863124 + ... + 103863164.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^4258388904 is an apocalyptic number.

4258388904 is a gapful number since it is divisible by the number (44) 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 4258388904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368000).

4258388904 is an abundant number, since it is smaller than the sum of its proper divisors (10450347096).

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

4258388904 is a wasteful number, since it uses less digits than its factorization.

4258388904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The square root of 4258388904 is about 65256.3322904375. The cubic root of 4258388904 is about 1620.8709567533.

The spelling of 4258388904 in words is "four billion, two hundred fifty-eight million, three hundred eighty-eight thousand, nine hundred four".