404006700 has 144 divisors (see below), whose sum is σ = 1271731104. Its totient is φ = 98611200.

The previous prime is 404006699. The next prime is 404006719. The reversal of 404006700 is 7600404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187630 + ... + 189770.

It is an arithmetic number, because the mean of its divisors is an integer number (8831466).

Almost surely, 2^404006700 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 404006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635865552).

404006700 is an abundant number, since it is smaller than the sum of its proper divisors (867724404).

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

404006700 is a wasteful number, since it uses less digits than its factorization.

404006700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 404006700 is about 20099.9179102801. The cubic root of 404006700 is about 739.2582657849.

The spelling of 404006700 in words is "four hundred four million, six thousand, seven hundred".