409225047000 has 512 divisors, whose sum is σ = 1594563010560. Its totient is φ = 84888000000.

The previous prime is 409225046941. The next prime is 409225047029. The reversal of 409225047000 is 740522904.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181795875 + ... + 181798125.

It is an arithmetic number, because the mean of its divisors is an integer number (3114380880).

Almost surely, 2^409225047000 is an apocalyptic number.

409225047000 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 409225047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797281505280).

409225047000 is an abundant number, since it is smaller than the sum of its proper divisors (1185337963560).

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

409225047000 is a wasteful number, since it uses less digits than its factorization.

409225047000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 409225047000 its reverse (740522904), we get a palindrome (409965569904).

The spelling of 409225047000 in words is "four hundred nine billion, two hundred twenty-five million, forty-seven thousand".