404347680 has 384 divisors, whose sum is σ = 1579253760. Its totient is φ = 95800320.

The previous prime is 404347679. The next prime is 404347687. The reversal of 404347680 is 86743404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (404347687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3183777 + ... + 3183903.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^404347680 is an apocalyptic number.

404347680 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 404347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789626880).

404347680 is an abundant number, since it is smaller than the sum of its proper divisors (1174906080).

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

404347680 is a wasteful number, since it uses less digits than its factorization.

404347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 404347680 is about 20108.3982455093. The cubic root of 404347680 is about 739.4661842845.

The spelling of 404347680 in words is "four hundred four million, three hundred forty-seven thousand, six hundred eighty".