404160000 has 200 divisors, whose sum is σ = 1348649544. Its totient is φ = 107520000.

The previous prime is 404159993. The next prime is 404160007. The reversal of 404160000 is 61404.

It is an interprime number because it is at equal distance from previous prime (404159993) and next prime (404160007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404160007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959790 + ... + 960210.

Almost surely, 2^404160000 is an apocalyptic number.

404160000 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 404160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674324772).

404160000 is an abundant number, since it is smaller than the sum of its proper divisors (944489544).

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

404160000 is an frugal number, since it uses more digits than its factorization.

404160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 404160000 is about 20103.7309970065. The cubic root of 404160000 is about 739.3517576016.

The spelling of 404160000 in words is "four hundred four million, one hundred sixty thousand".