410470680 has 128 divisors (see below), whose sum is σ = 1328140800. Its totient is φ = 101145600.

The previous prime is 410470633. The next prime is 410470681. The reversal of 410470680 is 86074014.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410470681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 91285 + ... + 95675.

It is an arithmetic number, because the mean of its divisors is an integer number (10376100).

Almost surely, 2^410470680 is an apocalyptic number.

410470680 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 410470680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664070400).

410470680 is an abundant number, since it is smaller than the sum of its proper divisors (917670120).

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

410470680 is a wasteful number, since it uses less digits than its factorization.

410470680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 410470680 is about 20260.0760117034. The cubic root of 410470680 is about 743.1800569206.

The spelling of 410470680 in words is "four hundred ten million, four hundred seventy thousand, six hundred eighty".