409278441 has 32 divisors (see below), whose sum is σ = 656772480. Its totient is φ = 223372800.

The previous prime is 409278439. The next prime is 409278469. The reversal of 409278441 is 144872904.

It is not a de Polignac number, because 409278441 - 2¹ = 409278439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 409278441.

It is not an unprimeable number, because it can be changed into a prime (409278481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5955 + ... + 29223.

It is an arithmetic number, because the mean of its divisors is an integer number (20524140).

Almost surely, 2^409278441 is an apocalyptic number.

409278441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

409278441 is a deficient number, since it is larger than the sum of its proper divisors (247494039).

409278441 is a wasteful number, since it uses less digits than its factorization.

409278441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23337.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 409278441 is about 20230.6312555985. The cubic root of 409278441 is about 742.4598207464.

The spelling of 409278441 in words is "four hundred nine million, two hundred seventy-eight thousand, four hundred forty-one".