407652381 has 12 divisors (see below), whose sum is σ = 603193500. Its totient is φ = 265139520.

The previous prime is 407652361. The next prime is 407652409. The reversal of 407652381 is 183256704.

It can be written as a sum of positive squares in 2 ways, for example, as 198387225 + 209265156 = 14085^2 + 14466^2 .

It is not a de Polignac number, because 407652381 - 2¹⁰ = 407651357 is a prime.

It is a super-2 number, since 2×407652381² = 332360927469938322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407652331) 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, 552006 + ... + 552743.

It is an arithmetic number, because the mean of its divisors is an integer number (50266125).

Almost surely, 2^407652381 is an apocalyptic number.

407652381 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

407652381 is a deficient number, since it is larger than the sum of its proper divisors (195541119).

407652381 is a wasteful number, since it uses less digits than its factorization.

407652381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104796 (or 1104793 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 407652381 is about 20190.4031906250. The cubic root of 407652381 is about 741.4752533737.

The spelling of 407652381 in words is "four hundred seven million, six hundred fifty-two thousand, three hundred eighty-one".