4374200480 has 96 divisors (see below), whose sum is σ = 11254496400. Its totient is φ = 1596874752.

The previous prime is 4374200473. The next prime is 4374200489. The reversal of 4374200480 is 840024734.

It can be written as a sum of positive squares in 8 ways, for example, as 1817104 + 4372383376 = 1348^2 + 66124^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4374200489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173306 + ... + 196934.

Almost surely, 2^4374200480 is an apocalyptic number.

4374200480 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 4374200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627248200).

4374200480 is an abundant number, since it is smaller than the sum of its proper divisors (6880295920).

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

4374200480 is a wasteful number, since it uses less digits than its factorization.

4374200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23746 (or 23738 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 4374200480 is about 66137.7386973580. The cubic root of 4374200480 is about 1635.4335191985.

The spelling of 4374200480 in words is "four billion, three hundred seventy-four million, two hundred thousand, four hundred eighty".