404001300 has 72 divisors (see below), whose sum is σ = 1206644992. Its totient is φ = 104256000.

The previous prime is 404001293. The next prime is 404001319. The reversal of 404001300 is 3100404.

It is a super-3 number, since 3×404001300³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12421 + ... + 31020.

Almost surely, 2^404001300 is an apocalyptic number.

It is an amenable number.

404001300 is an abundant number, since it is smaller than the sum of its proper divisors (802643692).

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

404001300 is a wasteful number, since it uses less digits than its factorization.

404001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43489 (or 43482 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 404001300 is about 20099.7835809244. The cubic root of 404001300 is about 739.2549720999.

Adding to 404001300 its reverse (3100404), we get a palindrome (407101704).

The spelling of 404001300 in words is "four hundred four million, one thousand, three hundred".