4957243200 has 1008 divisors, whose sum is σ = 22593970560. Its totient is φ = 1035141120.

The previous prime is 4957243171. The next prime is 4957243219. The reversal of 4957243200 is 23427594.

4957243200 is a `hidden beast` number, since 49 + 572 + 43 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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, 51105552 + ... + 51105648.

Almost surely, 2^4957243200 is an apocalyptic number.

4957243200 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 4957243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296985280).

4957243200 is an abundant number, since it is smaller than the sum of its proper divisors (17636727360).

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

4957243200 is a wasteful number, since it uses less digits than its factorization.

4957243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

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

The square root of 4957243200 is about 70407.6927615158. The cubic root of 4957243200 is about 1705.0877799568.

The spelling of 4957243200 in words is "four billion, nine hundred fifty-seven million, two hundred forty-three thousand, two hundred".