418725963 has 32 divisors (see below), whose sum is σ = 661651200. Its totient is φ = 260800128.

The previous prime is 418725949. The next prime is 418726013. The reversal of 418725963 is 369527814.

It is not a de Polignac number, because 418725963 - 2¹⁸ = 418463819 is a prime.

It is a super-4 number, since 4×418725963⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (418720963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60520 + ... + 67082.

It is an arithmetic number, because the mean of its divisors is an integer number (20676600).

Almost surely, 2^418725963 is an apocalyptic number.

418725963 is a deficient number, since it is larger than the sum of its proper divisors (242925237).

418725963 is a wasteful number, since it uses less digits than its factorization.

418725963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6728 (or 6722 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 418725963 is about 20462.7946038658. The cubic root of 418725963 is about 748.1292415636.

The spelling of 418725963 in words is "four hundred eighteen million, seven hundred twenty-five thousand, nine hundred sixty-three".