4254354720 has 1152 divisors, whose sum is σ = 20005719552. Its totient is φ = 796262400.

The previous prime is 4254354691. The next prime is 4254354721. The reversal of 4254354720 is 274534524.

4254354720 is a `hidden beast` number, since 42 + 54 + 3 + 547 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4254354721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69743490 + ... + 69743550.

It is an arithmetic number, because the mean of its divisors is an integer number (17366076).

Almost surely, 2^4254354720 is an apocalyptic number.

4254354720 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 4254354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10002859776).

4254354720 is an abundant number, since it is smaller than the sum of its proper divisors (15751364832).

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

4254354720 is a wasteful number, since it uses less digits than its factorization.

4254354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4254354720 is about 65225.4146786358. The cubic root of 4254354720 is about 1620.3589510952.

The spelling of 4254354720 in words is "four billion, two hundred fifty-four million, three hundred fifty-four thousand, seven hundred twenty".