410698640 has 80 divisors (see below), whose sum is σ = 1067181696. Its totient is φ = 145689600.

The previous prime is 410698637. The next prime is 410698703. The reversal of 410698640 is 46896014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 410698594 and 410698603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30389 + ... + 41771.

Almost surely, 2^410698640 is an apocalyptic number.

410698640 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 410698640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533590848).

410698640 is an abundant number, since it is smaller than the sum of its proper divisors (656483056).

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

410698640 is a wasteful number, since it uses less digits than its factorization.

410698640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 410698640 is about 20265.7010734887. The cubic root of 410698640 is about 743.3176095574.

The spelling of 410698640 in words is "four hundred ten million, six hundred ninety-eight thousand, six hundred forty".