414780345 has 72 divisors (see below), whose sum is σ = 867432384. Its totient is φ = 189586656.

The previous prime is 414780337. The next prime is 414780347. The reversal of 414780345 is 543087414.

It is not a de Polignac number, because 414780345 - 2³ = 414780337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414780347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56052 + ... + 63018.

It is an arithmetic number, because the mean of its divisors is an integer number (12047672).

Almost surely, 2^414780345 is an apocalyptic number.

414780345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

414780345 is an abundant number, since it is smaller than the sum of its proper divisors (452652039).

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

414780345 is an equidigital number, since it uses as much as digits as its factorization.

414780345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 414780345 is about 20366.1568539575. The cubic root of 414780345 is about 745.7719698031.

The spelling of 414780345 in words is "four hundred fourteen million, seven hundred eighty thousand, three hundred forty-five".