408522240 has 480 divisors, whose sum is σ = 1723550400. Its totient is φ = 87293952.

The previous prime is 408522239. The next prime is 408522263. The reversal of 408522240 is 42225804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741686 + ... + 2741834.

It is an arithmetic number, because the mean of its divisors is an integer number (3590730).

Almost surely, 2^408522240 is an apocalyptic number.

408522240 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 408522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

408522240 is an abundant number, since it is smaller than the sum of its proper divisors (1315028160).

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

408522240 is a wasteful number, since it uses less digits than its factorization.

408522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

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

The square root of 408522240 is about 20211.9331089334. The cubic root of 408522240 is about 742.0022716030.

The spelling of 408522240 in words is "four hundred eight million, five hundred twenty-two thousand, two hundred forty".