414961616 has 10 divisors (see below), whose sum is σ = 803988162. Its totient is φ = 207480800.

The previous prime is 414961553. The next prime is 414961621. The reversal of 414961616 is 616169414.

It can be written as a sum of positive squares in only one way, i.e., 408201616 + 6760000 = 20204^2 + 2600^2 .

It is a super-3 number, since 3×414961616³ (a number of 27 digits) contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 414961616.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 12967535 + ... + 12967566.

Almost surely, 2^414961616 is an apocalyptic number.

It is an amenable number.

414961616 is a deficient number, since it is larger than the sum of its proper divisors (389026546).

414961616 is a wasteful number, since it uses less digits than its factorization.

414961616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25935109 (or 25935103 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 414961616 is about 20370.6066674510. The cubic root of 414961616 is about 745.8805952829.

The spelling of 414961616 in words is "four hundred fourteen million, nine hundred sixty-one thousand, six hundred sixteen".