407438379481 has 27 divisors (see below), whose sum is σ = 481492305567. Its totient is φ = 343767695040.

The previous prime is 407438379463. The next prime is 407438379533. The reversal of 407438379481 is 184973834704.

The square root of 407438379481 is 638309.

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., 69226345881 + 338212033600 = 263109^2 + 581560^2 .

It is not a de Polignac number, because 407438379481 - 2⁹ = 407438378969 is a prime.

It is a super-2 number, since 2×407438379481² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407438379401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 299366241 + ... + 299367601.

Almost surely, 2^407438379481 is an apocalyptic number.

407438379481 is the 638309-th square number.

407438379481 is the 319155-th centered octagonal number.

It is an amenable number.

407438379481 is a deficient number, since it is larger than the sum of its proper divisors (74053926086).

407438379481 is an frugal number, since it uses more digits than its factorization.

407438379481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 407438379481 in words is "four hundred seven billion, four hundred thirty-eight million, three hundred seventy-nine thousand, four hundred eighty-one".