407147841 has 12 divisors (see below), whose sum is σ = 622696932. Its totient is φ = 255465216.

The previous prime is 407147833. The next prime is 407147861. The reversal of 407147841 is 148741704.

It can be written as a sum of positive squares in 2 ways, for example, as 190440000 + 216707841 = 13800^2 + 14721^2 .

It is not a de Polignac number, because 407147841 - 2³ = 407147833 is a prime.

It is a super-2 number, since 2×407147841² = 331538728861922562, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 407147796 and 407147805.

It is not an unprimeable number, because it can be changed into a prime (407147821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330396 + ... + 1330701.

It is an arithmetic number, because the mean of its divisors is an integer number (51891411).

Almost surely, 2^407147841 is an apocalyptic number.

It is an amenable number.

407147841 is a deficient number, since it is larger than the sum of its proper divisors (215549091).

407147841 is a wasteful number, since it uses less digits than its factorization.

407147841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661120 (or 2661117 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 407147841 is about 20177.9047722998. The cubic root of 407147841 is about 741.1692259941.

The spelling of 407147841 in words is "four hundred seven million, one hundred forty-seven thousand, eight hundred forty-one".