410456960 has 64 divisors (see below), whose sum is σ = 986629680. Its totient is φ = 163282944.

The previous prime is 410456951. The next prime is 410456971. The reversal of 410456960 is 69654014.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 410456960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121859 + ... + 125181.

Almost surely, 2^410456960 is an apocalyptic number.

410456960 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 410456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493314840).

410456960 is an abundant number, since it is smaller than the sum of its proper divisors (576172720).

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

410456960 is a wasteful number, since it uses less digits than its factorization.

410456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 410456960 is about 20259.7374119212. The cubic root of 410456960 is about 743.1717765533.

The spelling of 410456960 in words is "four hundred ten million, four hundred fifty-six thousand, nine hundred sixty".