407192041 has 9 divisors (see below), whose sum is σ = 432918199. Its totient is φ = 382916704.

The previous prime is 407192017. The next prime is 407192077. The reversal of 407192041 is 140291704.

The square root of 407192041 is 20179.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 317018025 + 90174016 = 17805^2 + 9496^2 .

It is not a de Polignac number, because 407192041 - 2⁹ = 407191529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407192341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 342450 + ... + 343636.

Almost surely, 2^407192041 is an apocalyptic number.

407192041 is the 20179-th square number.

407192041 is the 10090-th centered octagonal number.

It is an amenable number.

407192041 is a deficient number, since it is larger than the sum of its proper divisors (25726158).

407192041 is an frugal number, since it uses more digits than its factorization.

407192041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 407192041 is about 741.1960454857.

The spelling of 407192041 in words is "four hundred seven million, one hundred ninety-two thousand, forty-one".