406704000 has 256 divisors, whose sum is σ = 1390708800. Its totient is φ = 105062400.

The previous prime is 406703981. The next prime is 406704007. The reversal of 406704000 is 407604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406704007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775886 + ... + 1776114.

Almost surely, 2^406704000 is an apocalyptic number.

406704000 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 406704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695354400).

406704000 is an abundant number, since it is smaller than the sum of its proper divisors (984004800).

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

406704000 is a wasteful number, since it uses less digits than its factorization.

406704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

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

The square root of 406704000 is about 20166.9035798756. The cubic root of 406704000 is about 740.8998063339.

The spelling of 406704000 in words is "four hundred six million, seven hundred four thousand".