414827973 has 80 divisors (see below), whose sum is σ = 734982400. Its totient is φ = 234043992.

The previous prime is 414827947. The next prime is 414827981. The reversal of 414827973 is 379728414.

It is not a de Polignac number, because 414827973 - 2⁸ = 414827717 is a prime.

It is a Duffinian number.

Its product of digits (338688) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414827983) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5250948 + ... + 5251026.

It is an arithmetic number, because the mean of its divisors is an integer number (9187280).

Almost surely, 2^414827973 is an apocalyptic number.

It is an amenable number.

414827973 is a deficient number, since it is larger than the sum of its proper divisors (320154427).

414827973 is an frugal number, since it uses more digits than its factorization.

414827973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 414827973 is about 20367.3261131647. The cubic root of 414827973 is about 745.8005136403.

It can be divided in two parts, 41482 and 7973, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 414827973 in words is "four hundred fourteen million, eight hundred twenty-seven thousand, nine hundred seventy-three".