4332980400 has 480 divisors, whose sum is σ = 17691010560. Its totient is φ = 882524160.

The previous prime is 4332980371. The next prime is 4332980401. The reversal of 4332980400 is 40892334.

It is not an unprimeable number, because it can be changed into a prime (4332980401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2712402 + ... + 2713998.

It is an arithmetic number, because the mean of its divisors is an integer number (36856272).

Almost surely, 2^4332980400 is an apocalyptic number.

4332980400 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 4332980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845505280).

4332980400 is an abundant number, since it is smaller than the sum of its proper divisors (13358030160).

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

4332980400 is a wasteful number, since it uses less digits than its factorization.

4332980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4332980400 is about 65825.3780847478. The cubic root of 4332980400 is about 1630.2801530835.

The spelling of 4332980400 in words is "four billion, three hundred thirty-two million, nine hundred eighty thousand, four hundred".