409406976 has 240 divisors, whose sum is σ = 1327133808. Its totient is φ = 120422400.

The previous prime is 409406953. The next prime is 409407001. The reversal of 409406976 is 679604904.

It is a super-2 number, since 2×409406976² = 335228143994929152, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2078110 + ... + 2078306.

Almost surely, 2^409406976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663566904).

409406976 is an abundant number, since it is smaller than the sum of its proper divisors (917726832).

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

409406976 is a wasteful number, since it uses less digits than its factorization.

409406976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 409406976 is about 20233.8077484195. The cubic root of 409406976 is about 742.5375364488.

The spelling of 409406976 in words is "four hundred nine million, four hundred six thousand, nine hundred seventy-six".