4001300 has 18 divisors (see below), whose sum is σ = 8683038. Its totient is φ = 1600480.

The previous prime is 4001269. The next prime is 4001303. The reversal of 4001300 is 31004.

4001300 = 388² + 389² + ... + 412².

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 3818116 = 428^2 + 1954^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19907 + ... + 20106.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^4001300 is an apocalyptic number.

It is an amenable number.

4001300 is an abundant number, since it is smaller than the sum of its proper divisors (4681738).

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

4001300 is a wasteful number, since it uses less digits than its factorization.

4001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40027 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 4001300 is about 2000.3249735980. The cubic root of 4001300 is about 158.7573001789.

Adding to 4001300 its reverse (31004), we get a palindrome (4032304).

The spelling of 4001300 in words is "four million, one thousand, three hundred".