404001120 has 96 divisors (see below), whose sum is σ = 1285871328. Its totient is φ = 106610688.

The previous prime is 404001119. The next prime is 404001121. The reversal of 404001120 is 21100404.

It is an interprime number because it is at equal distance from previous prime (404001119) and next prime (404001121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×404001120² = 326433809922508800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 404001096 and 404001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404001121) 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, 42222 + ... + 50898.

It is an arithmetic number, because the mean of its divisors is an integer number (13394493).

Almost surely, 2^404001120 is an apocalyptic number.

404001120 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 404001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642935664).

404001120 is an abundant number, since it is smaller than the sum of its proper divisors (881870208).

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

404001120 is a wasteful number, since it uses less digits than its factorization.

404001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 404001120 is about 20099.7791032638. The cubic root of 404001120 is about 739.2548623099.

Adding to 404001120 its reverse (21100404), we get a palindrome (425101524).

The spelling of 404001120 in words is "four hundred four million, one thousand, one hundred twenty".