416561431 has 16 divisors (see below), whose sum is σ = 490089600. Its totient is φ = 349060320.

The previous prime is 416561419. The next prime is 416561437. The reversal of 416561431 is 134165614.

It is a cyclic number.

It is not a de Polignac number, because 416561431 - 2⁵ = 416561399 is a prime.

It is a super-2 number, since 2×416561431² = 347046851593535522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416561393 and 416561402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416561437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124620 + ... + 127918.

It is an arithmetic number, because the mean of its divisors is an integer number (30630600).

Almost surely, 2^416561431 is an apocalyptic number.

416561431 is a deficient number, since it is larger than the sum of its proper divisors (73528169).

416561431 is a wasteful number, since it uses less digits than its factorization.

416561431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206.

The product of its digits is 8640, while the sum is 31.

The square root of 416561431 is about 20409.8366235499. The cubic root of 416561431 is about 746.8379053162.

The spelling of 416561431 in words is "four hundred sixteen million, five hundred sixty-one thousand, four hundred thirty-one".