4945730400 has 864 divisors, whose sum is σ = 20701175040. Its totient is φ = 1142138880.

The previous prime is 4945730399. The next prime is 4945730437. The reversal of 4945730400 is 40375494.

4945730400 is a `hidden beast` number, since 49 + 4 + 573 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 48016749 + ... + 48016851.

Almost surely, 2^4945730400 is an apocalyptic number.

4945730400 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 4945730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350587520).

4945730400 is an abundant number, since it is smaller than the sum of its proper divisors (15755444640).

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

4945730400 is a wasteful number, since it uses less digits than its factorization.

4945730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4945730400 is about 70325.8871255813. The cubic root of 4945730400 is about 1703.7667802220.

The spelling of 4945730400 in words is "four billion, nine hundred forty-five million, seven hundred thirty thousand, four hundred".