408542400 has 504 divisors, whose sum is σ = 1741413840. Its totient is φ = 92897280.

The previous prime is 408542333. The next prime is 408542413. The reversal of 408542400 is 4245804.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116704 + ... + 2116896.

Almost surely, 2^408542400 is an apocalyptic number.

408542400 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 408542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870706920).

408542400 is an abundant number, since it is smaller than the sum of its proper divisors (1332871440).

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

408542400 is a wasteful number, since it uses less digits than its factorization.

408542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 408542400 is about 20212.4318180668. The cubic root of 408542400 is about 742.0144769930.

The spelling of 408542400 in words is "four hundred eight million, five hundred forty-two thousand, four hundred".