406454400 has 288 divisors, whose sum is σ = 1583403120. Its totient is φ = 98457600.

The previous prime is 406454393. The next prime is 406454491. The reversal of 406454400 is 4454604.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 316159 + ... + 317441.

Almost surely, 2^406454400 is an apocalyptic number.

406454400 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 406454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791701560).

406454400 is an abundant number, since it is smaller than the sum of its proper divisors (1176948720).

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

406454400 is a wasteful number, since it uses less digits than its factorization.

406454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 406454400 is about 20160.7142730609. The cubic root of 406454400 is about 740.7482084185.

The spelling of 406454400 in words is "four hundred six million, four hundred fifty-four thousand, four hundred".