406704700 has 72 divisors (see below), whose sum is σ = 928846800. Its totient is φ = 154344960.

The previous prime is 406704691. The next prime is 406704713. The reversal of 406704700 is 7407604.

It is a super-3 number, since 3×406704700³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169912 + ... + 172288.

It is an arithmetic number, because the mean of its divisors is an integer number (12900650).

Almost surely, 2^406704700 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 406704700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464423400).

406704700 is an abundant number, since it is smaller than the sum of its proper divisors (522142100).

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

406704700 is a wasteful number, since it uses less digits than its factorization.

406704700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 406704700 is about 20166.9209350362. The cubic root of 406704700 is about 740.9002314010.

The spelling of 406704700 in words is "four hundred six million, seven hundred four thousand, seven hundred".