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409600000000 = 22058

409600000000 has 189 divisors, whose sum is σ = 1023998987431. Its totient is φ = 163840000000.

The previous prime is 409599999959. The next prime is 409600000001. The reversal of 409600000000 is 6904.

Adding to 409600000000 its reverse (6904), we get a palindrome (409600006904).

It is a happy number.

The square root of 409600000000 is 640000.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 291219963904 + 118380036096 = 539648^2 + 344064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409600000001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81919999998 + ... + 81920000002.

Almost surely, 2409600000000 is an apocalyptic number.

409600000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

409600000000 is a droll number since its even prime factors and its odd prime factors have the same sum.

409600000000 is the 640000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409600000000

409600000000 is an abundant number, since it is smaller than the sum of its proper divisors (614398987431).

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

409600000000 is an frugal number, since it uses more digits than its factorization.

409600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The spelling of 409600000000 in words is "four hundred nine billion, six hundred million", and thus it is an aban number.