412047360 has 288 divisors, whose sum is σ = 1517836320. Its totient is φ = 103022592.

The previous prime is 412047347. The next prime is 412047401. The reversal of 412047360 is 63740214.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566589 + ... + 1566851.

It is an arithmetic number, because the mean of its divisors is an integer number (5270265).

Almost surely, 2^412047360 is an apocalyptic number.

412047360 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 412047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758918160).

412047360 is an abundant number, since it is smaller than the sum of its proper divisors (1105788960).

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

412047360 is a wasteful number, since it uses less digits than its factorization.

412047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 412047360 is about 20298.9497265253. The cubic root of 412047360 is about 744.1303968464.

Adding to 412047360 its reverse (63740214), we get a palindrome (475787574).

The spelling of 412047360 in words is "four hundred twelve million, forty-seven thousand, three hundred sixty".