4753461600 has 432 divisors, whose sum is σ = 17378262720. Its totient is φ = 1222041600.

The previous prime is 4753461577. The next prime is 4753461611. The reversal of 4753461600 is 61643574.

It is a happy number.

4753461600 is a `hidden beast` number, since 4 + 7 + 5 + 3 + 46 + 1 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 34696732 + ... + 34696868.

It is an arithmetic number, because the mean of its divisors is an integer number (40227460).

Almost surely, 2^4753461600 is an apocalyptic number.

4753461600 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 4753461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689131360).

4753461600 is an abundant number, since it is smaller than the sum of its proper divisors (12624801120).

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

4753461600 is a wasteful number, since it uses less digits than its factorization.

4753461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

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

The square root of 4753461600 is about 68945.3522726514. The cubic root of 4753461600 is about 1681.3959485982.

The spelling of 4753461600 in words is "four billion, seven hundred fifty-three million, four hundred sixty-one thousand, six hundred".