407274261 has 16 divisors (see below), whose sum is σ = 549024000. Its totient is φ = 268531200.

The previous prime is 407274251. The next prime is 407274293. The reversal of 407274261 is 162472704.

It is not a de Polignac number, because 407274261 - 2⁹ = 407273749 is a prime.

It is a super-2 number, since 2×407274261² = 331744647346192242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407274251) 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 15 ways as a sum of consecutive naturals, for example, 202740 + ... + 204738.

It is an arithmetic number, because the mean of its divisors is an integer number (34314000).

Almost surely, 2^407274261 is an apocalyptic number.

It is an amenable number.

407274261 is a deficient number, since it is larger than the sum of its proper divisors (141749739).

407274261 is a wasteful number, since it uses less digits than its factorization.

407274261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 407274261 is about 20181.0371636346. The cubic root of 407274261 is about 741.2459294319.

The spelling of 407274261 in words is "four hundred seven million, two hundred seventy-four thousand, two hundred sixty-one".