4742917200 has 480 divisors, whose sum is σ = 19755084800. Its totient is φ = 1058158080.

The previous prime is 4742917189. The next prime is 4742917217. The reversal of 4742917200 is 27192474.

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 95 ways as a sum of consecutive naturals, for example, 3250071 + ... + 3251529.

Almost surely, 2^4742917200 is an apocalyptic number.

4742917200 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 4742917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877542400).

4742917200 is an abundant number, since it is smaller than the sum of its proper divisors (15012167600).

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

4742917200 is a wasteful number, since it uses less digits than its factorization.

4742917200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4742917200 is about 68868.8405594286. The cubic root of 4742917200 is about 1680.1517720027.

The spelling of 4742917200 in words is "four billion, seven hundred forty-two million, nine hundred seventeen thousand, two hundred".