416083537 has 8 divisors (see below), whose sum is σ = 431738216. Its totient is φ = 400660992.

The previous prime is 416083477. The next prime is 416083541. The reversal of 416083537 is 735380614.

It is the 8328-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 53523856 + 362559681 = 7316^2 + 19041^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416083537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416083496 and 416083505.

It is not an unprimeable number, because it can be changed into a prime (416083037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54378 + ... + 61555.

It is an arithmetic number, because the mean of its divisors is an integer number (53967277).

Almost surely, 2^416083537 is an apocalyptic number.

It is an amenable number.

416083537 is a deficient number, since it is larger than the sum of its proper divisors (15654679).

416083537 is a wasteful number, since it uses less digits than its factorization.

416083537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116067.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 416083537 is about 20398.1258207709. The cubic root of 416083537 is about 746.5521964141.

The spelling of 416083537 in words is "four hundred sixteen million, eighty-three thousand, five hundred thirty-seven".