408748670400 has 504 divisors, whose sum is σ = 1562748370560. Its totient is φ = 93262632960.

The previous prime is 408748670353. The next prime is 408748670459. The reversal of 408748670400 is 4076847804.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 408748670400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174752431 + ... + 174754769.

Almost surely, 2^408748670400 is an apocalyptic number.

408748670400 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 408748670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781374185280).

408748670400 is an abundant number, since it is smaller than the sum of its proper divisors (1153999700160).

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

408748670400 is a wasteful number, since it uses less digits than its factorization.

408748670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 408748670400 in words is "four hundred eight billion, seven hundred forty-eight million, six hundred seventy thousand, four hundred".