406400000 has 132 divisors (see below), whose sum is σ = 1023434496. Its totient is φ = 161280000.

The previous prime is 406399991. The next prime is 406400003. The reversal of 406400000 is 4604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (406400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3199937 + ... + 3200063.

Almost surely, 2^406400000 is an apocalyptic number.

406400000 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 406400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511717248).

406400000 is an abundant number, since it is smaller than the sum of its proper divisors (617034496).

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

406400000 is an frugal number, since it uses more digits than its factorization.

406400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 406400000 is about 20159.3650693666. The cubic root of 406400000 is about 740.7151596104.

Adding to 406400000 its reverse (4604), we get a palindrome (406404604).

It can be divided in two parts, 40 and 6400000, that multiplied together give a square (256000000 = 16000²).

The spelling of 406400000 in words is "four hundred six million, four hundred thousand".