416740407 has 16 divisors (see below), whose sum is σ = 559472640. Its totient is φ = 275925312.

The previous prime is 416740351. The next prime is 416740451. The reversal of 416740407 is 704047614.

It is not a de Polignac number, because 416740407 - 2⁷ = 416740279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416740607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325194 + ... + 326472.

It is an arithmetic number, because the mean of its divisors is an integer number (34967040).

Almost surely, 2^416740407 is an apocalyptic number.

416740407 is a deficient number, since it is larger than the sum of its proper divisors (142732233).

416740407 is a wasteful number, since it uses less digits than its factorization.

416740407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942.

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

The square root of 416740407 is about 20414.2207051849. The cubic root of 416740407 is about 746.9448498645.

The spelling of 416740407 in words is "four hundred sixteen million, seven hundred forty thousand, four hundred seven".