406704600 has 144 divisors (see below), whose sum is σ = 1446302520. Its totient is φ = 102067200.

The previous prime is 406704577. The next prime is 406704601. The reversal of 406704600 is 6407604.

It is a super-2 number, since 2×406704600² = 330817263322320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406704601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23955 + ... + 37245.

Almost surely, 2^406704600 is an apocalyptic number.

406704600 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 406704600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723151260).

406704600 is an abundant number, since it is smaller than the sum of its proper divisors (1039597920).

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

406704600 is a wasteful number, since it uses less digits than its factorization.

406704600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330 (or 13318 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 406704600 is about 20166.9184557284. The cubic root of 406704600 is about 740.9001706772.

The spelling of 406704600 in words is "four hundred six million, seven hundred four thousand, six hundred".