4758422400 has 288 divisors, whose sum is σ = 17979764400. Its totient is φ = 1194147840.

The previous prime is 4758422387. The next prime is 4758422401. The reversal of 4758422400 is 42248574.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758422401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484741 + ... + 494459.

Almost surely, 2^4758422400 is an apocalyptic number.

4758422400 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 4758422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8989882200).

4758422400 is an abundant number, since it is smaller than the sum of its proper divisors (13221342000).

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

4758422400 is a wasteful number, since it uses less digits than its factorization.

4758422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4758422400 is about 68981.3192103485. The cubic root of 4758422400 is about 1681.9806571589.

The spelling of 4758422400 in words is "four billion, seven hundred fifty-eight million, four hundred twenty-two thousand, four hundred".