408274992000 has 1792 divisors, whose sum is σ = 1690484515200. Its totient is φ = 97542144000.

The previous prime is 408274991951. The next prime is 408274992001. The reversal of 408274992000 is 299472804.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408274992001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5750351965 + ... + 5750352035.

Almost surely, 2^408274992000 is an apocalyptic number.

408274992000 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 408274992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845242257600).

408274992000 is an abundant number, since it is smaller than the sum of its proper divisors (1282209523200).

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

408274992000 is an equidigital number, since it uses as much as digits as its factorization.

408274992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 408274992000 in words is "four hundred eight billion, two hundred seventy-four million, nine hundred ninety-two thousand".