410079040 has 84 divisors (see below), whose sum is σ = 1135972836. Its totient is φ = 140593152.

The previous prime is 410079023. The next prime is 410079091. The reversal of 410079040 is 40970014.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 315133504 = 9744^2 + 17752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 410078996 and 410079014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2604 + ... + 28756.

Almost surely, 2^410079040 is an apocalyptic number.

410079040 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 410079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567986418).

410079040 is an abundant number, since it is smaller than the sum of its proper divisors (725893796).

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

410079040 is a wasteful number, since it uses less digits than its factorization.

410079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26184 (or 26167 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 410079040 is about 20250.4083909436. The cubic root of 410079040 is about 742.9436196876.

The spelling of 410079040 in words is "four hundred ten million, seventy-nine thousand, forty".