4724770400 has 144 divisors (see below), whose sum is σ = 13755619584. Its totient is φ = 1549447680.

The previous prime is 4724770397. The next prime is 4724770439. The reversal of 4724770400 is 40774274.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110459 + ... + 147141.

It is an arithmetic number, because the mean of its divisors is an integer number (95525136).

Almost surely, 2^4724770400 is an apocalyptic number.

4724770400 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 4724770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877809792).

4724770400 is an abundant number, since it is smaller than the sum of its proper divisors (9030849184).

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

4724770400 is a wasteful number, since it uses less digits than its factorization.

4724770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36733 (or 36720 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 35.

The square root of 4724770400 is about 68736.9653097953. The cubic root of 4724770400 is about 1678.0062326838.

The spelling of 4724770400 in words is "four billion, seven hundred twenty-four million, seven hundred seventy thousand, four hundred".