408868819400 has 48 divisors (see below), whose sum is σ = 954700028100. Its totient is φ = 162845588480.

The previous prime is 408868819399. The next prime is 408868819441. The reversal of 408868819400 is 4918868804.

It can be written as a sum of positive squares in 6 ways, for example, as 141904396804 + 266964422596 = 376702^2 + 516686^2 .

It is a super-2 number, since 2×408868819400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4340405 + ... + 4433604.

Almost surely, 2^408868819400 is an apocalyptic number.

408868819400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408868819400 is an abundant number, since it is smaller than the sum of its proper divisors (545831208700).

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

408868819400 is a wasteful number, since it uses less digits than its factorization.

408868819400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774258 (or 8774249 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 56.

The spelling of 408868819400 in words is "four hundred eight billion, eight hundred sixty-eight million, eight hundred nineteen thousand, four hundred".