4738982400 has 360 divisors, whose sum is σ = 17519783424. Its totient is φ = 1222041600.

The previous prime is 4738982389. The next prime is 4738982449. The reversal of 4738982400 is 42898374.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3570537 + ... + 3571863.

Almost surely, 2^4738982400 is an apocalyptic number.

4738982400 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 4738982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759891712).

4738982400 is an abundant number, since it is smaller than the sum of its proper divisors (12780801024).

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

4738982400 is a wasteful number, since it uses less digits than its factorization.

4738982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4738982400 is about 68840.2672859425. The cubic root of 4738982400 is about 1679.6870165248.

The spelling of 4738982400 in words is "four billion, seven hundred thirty-eight million, nine hundred eighty-two thousand, four hundred".