409777016 has 64 divisors (see below), whose sum is σ = 889228800. Its totient is φ = 175190400.

The previous prime is 409776979. The next prime is 409777031. The reversal of 409777016 is 610777904.

409777016 = 96² + 97² + ... + 1071².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121805 + ... + 125123.

It is an arithmetic number, because the mean of its divisors is an integer number (13894200).

Almost surely, 2^409777016 is an apocalyptic number.

409777016 is a gapful number since it is divisible by the number (46) 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 409777016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444614400).

409777016 is an abundant number, since it is smaller than the sum of its proper divisors (479451784).

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

409777016 is a wasteful number, since it uses less digits than its factorization.

409777016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 409777016 is about 20242.9497850486. The cubic root of 409777016 is about 742.7611817577.

The spelling of 409777016 in words is "four hundred nine million, seven hundred seventy-seven thousand, sixteen".