341580456 has 256 divisors, whose sum is σ = 1168473600. Its totient is φ = 90243072.

The previous prime is 341580431. The next prime is 341580457. The reversal of 341580456 is 654085143.

It is a happy number.

341580456 is a `hidden beast` number, since 34 + 1 + 580 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 341580456.

It is not an unprimeable number, because it can be changed into a prime (341580457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2493220 + ... + 2493356.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2^341580456 is an apocalyptic number.

341580456 is a gapful number since it is divisible by the number (36) 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 341580456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584236800).

341580456 is an abundant number, since it is smaller than the sum of its proper divisors (826893144).

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

341580456 is a wasteful number, since it uses less digits than its factorization.

341580456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 341580456 is about 18481.8953573490. The cubic root of 341580456 is about 699.0329885516.

The spelling of 341580456 in words is "three hundred forty-one million, five hundred eighty thousand, four hundred fifty-six".