410842432 has 224 divisors, whose sum is σ = 1124492544. Its totient is φ = 144967680.

The previous prime is 410842409. The next prime is 410842441. The reversal of 410842432 is 234248014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 410842432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7751718 + ... + 7751770.

It is an arithmetic number, because the mean of its divisors is an integer number (5020056).

Almost surely, 2^410842432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562246272).

410842432 is an abundant number, since it is smaller than the sum of its proper divisors (713650112).

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

410842432 is a wasteful number, since it uses less digits than its factorization.

410842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 410842432 is about 20269.2484320460. The cubic root of 410842432 is about 743.4043484652.

The spelling of 410842432 in words is "four hundred ten million, eight hundred forty-two thousand, four hundred thirty-two".