401404300 has 72 divisors (see below), whose sum is σ = 959907312. Its totient is φ = 144480000.

The previous prime is 401404291. The next prime is 401404307. The reversal of 401404300 is 3404104.

It is a super-2 number, since 2×401404300² = 322250824116980000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401404307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109294 + ... + 112906.

It is an arithmetic number, because the mean of its divisors is an integer number (13332046).

Almost surely, 2^401404300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479953656).

401404300 is an abundant number, since it is smaller than the sum of its proper divisors (558503012).

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

401404300 is a wasteful number, since it uses less digits than its factorization.

401404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 401404300 is about 20035.0767405568. The cubic root of 401404300 is about 737.6675402186.

Adding to 401404300 its reverse (3404104), we get a palindrome (404808404).

The spelling of 401404300 in words is "four hundred one million, four hundred four thousand, three hundred".