404110464 has 64 divisors (see below), whose sum is σ = 1080416640. Its totient is φ = 133825536.

The previous prime is 404110459. The next prime is 404110471. The reversal of 404110464 is 464011404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×404110464² = 326610534228590592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56937 + ... + 63639.

It is an arithmetic number, because the mean of its divisors is an integer number (16881510).

Almost surely, 2^404110464 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 404110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540208320).

404110464 is an abundant number, since it is smaller than the sum of its proper divisors (676306176).

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

404110464 is a wasteful number, since it uses less digits than its factorization.

404110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 404110464 is about 20102.4989491357. The cubic root of 404110464 is about 739.3215500724.

Adding to 404110464 its reverse (464011404), we get a palindrome (868121868).

The spelling of 404110464 in words is "four hundred four million, one hundred ten thousand, four hundred sixty-four".