410968890 has 96 divisors (see below), whose sum is σ = 1129355136. Its totient is φ = 107490240.

The previous prime is 410968849. The next prime is 410968919. The reversal of 410968890 is 98869014.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127195 + ... + 130385.

It is an arithmetic number, because the mean of its divisors is an integer number (11764116).

Almost surely, 2^410968890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410968890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568).

410968890 is an abundant number, since it is smaller than the sum of its proper divisors (718386246).

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

410968890 is a wasteful number, since it uses less digits than its factorization.

410968890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 410968890 is about 20272.3676466268. The cubic root of 410968890 is about 743.4806143488.

The spelling of 410968890 in words is "four hundred ten million, nine hundred sixty-eight thousand, eight hundred ninety".