408241465800 has 192 divisors, whose sum is σ = 1466713267200. Its totient is φ = 91998009600.

The previous prime is 408241465799. The next prime is 408241465901. The reversal of 408241465800 is 8564142804.

It is a super-2 number, since 2×408241465800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386310 + ... + 982709.

It is an arithmetic number, because the mean of its divisors is an integer number (7639131600).

Almost surely, 2^408241465800 is an apocalyptic number.

408241465800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408241465800 is an abundant number, since it is smaller than the sum of its proper divisors (1058471801400).

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

408241465800 is a wasteful number, since it uses less digits than its factorization.

408241465800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369116 (or 1369107 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 408241465800 in words is "four hundred eight billion, two hundred forty-one million, four hundred sixty-five thousand, eight hundred".