409454607960 has 320 divisors, whose sum is σ = 1425842161920. Its totient is φ = 105277086720.

The previous prime is 409454607889. The next prime is 409454607971. The reversal of 409454607960 is 69706454904.

It is a happy number.

409454607960 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 546 + 0 + 7 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 409454607897 and 409454607906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27814522 + ... + 27829238.

It is an arithmetic number, because the mean of its divisors is an integer number (4455756756).

Almost surely, 2^409454607960 is an apocalyptic number.

409454607960 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 409454607960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712921080960).

409454607960 is an abundant number, since it is smaller than the sum of its proper divisors (1016387553960).

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

409454607960 is a wasteful number, since it uses less digits than its factorization.

409454607960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15048 (or 15035 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 409454607960 in words is "four hundred nine billion, four hundred fifty-four million, six hundred seven thousand, nine hundred sixty".