415629064249 has 45 divisors (see below), whose sum is σ = 495450887973. Its totient is φ = 348644816856.

The previous prime is 415629064231. The next prime is 415629064273. The reversal of 415629064249 is 942460926514.

The square root of 415629064249 is 644693.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 415629064249 - 2⁷ = 415629064121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 415629064196 and 415629064205.

It is not an unprimeable number, because it can be changed into a prime (415629064289) 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 44 ways as a sum of consecutive naturals, for example, 1863807352 + ... + 1863807574.

Almost surely, 2^415629064249 is an apocalyptic number.

415629064249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

415629064249 is the 644693-rd square number.

415629064249 is the 322347-th centered octagonal number.

It is an amenable number.

415629064249 is a deficient number, since it is larger than the sum of its proper divisors (79821823724).

415629064249 is an frugal number, since it uses more digits than its factorization.

415629064249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 415629064249 in words is "four hundred fifteen billion, six hundred twenty-nine million, sixty-four thousand, two hundred forty-nine".