4720742400 has 468 divisors, whose sum is σ = 17291004416. Its totient is φ = 1135411200.

The previous prime is 4720742371. The next prime is 4720742423. The reversal of 4720742400 is 42470274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37171137 + ... + 37171263.

Almost surely, 2^4720742400 is an apocalyptic number.

4720742400 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 4720742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645502208).

4720742400 is an abundant number, since it is smaller than the sum of its proper divisors (12570262016).

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

4720742400 is a wasteful number, since it uses less digits than its factorization.

4720742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 4720742400 is about 68707.6589617198. The cubic root of 4720742400 is about 1677.5292479000.

It can be divided in two parts, 472074 and 2400, that added together give a palindrome (474474).

The spelling of 4720742400 in words is "four billion, seven hundred twenty million, seven hundred forty-two thousand, four hundred".