412702080 has 128 divisors (see below), whose sum is σ = 1503463680. Its totient is φ = 94328832.

The previous prime is 412702061. The next prime is 412702091. The reversal of 412702080 is 80207214.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412702080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914 + ... + 28793.

It is an arithmetic number, because the mean of its divisors is an integer number (11745810).

Almost surely, 2^412702080 is an apocalyptic number.

412702080 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 412702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751731840).

412702080 is an abundant number, since it is smaller than the sum of its proper divisors (1090761600).

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

412702080 is a wasteful number, since it uses less digits than its factorization.

412702080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30736 (or 30724 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 412702080 is about 20315.0702681531. The cubic root of 412702080 is about 744.5243153498.

Adding to 412702080 its reverse (80207214), we get a palindrome (492909294).

The spelling of 412702080 in words is "four hundred twelve million, seven hundred two thousand, eighty".