407145361 has 12 divisors (see below), whose sum is σ = 474001968. Its totient is φ = 348698952.

The previous prime is 407145337. The next prime is 407145391. The reversal of 407145361 is 163541704.

It is not a de Polignac number, because 407145361 - 2¹³ = 407137169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407145391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77170 + ... + 82276.

It is an arithmetic number, because the mean of its divisors is an integer number (39500164).

Almost surely, 2^407145361 is an apocalyptic number.

It is an amenable number.

407145361 is a deficient number, since it is larger than the sum of its proper divisors (66856607).

407145361 is a wasteful number, since it uses less digits than its factorization.

407145361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 407145361 is about 20177.8433188485. The cubic root of 407145361 is about 741.1677211325.

The spelling of 407145361 in words is "four hundred seven million, one hundred forty-five thousand, three hundred sixty-one".