416230563504 has 120 divisors (see below), whose sum is σ = 1255086388080. Its totient is φ = 118516941312.

The previous prime is 416230563499. The next prime is 416230563509. The reversal of 416230563504 is 405365032614.

It is an interprime number because it is at equal distance from previous prime (416230563499) and next prime (416230563509).

It is a super-3 number, since 3×416230563504³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (416230563509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387142 + ... + 991130.

It is an arithmetic number, because the mean of its divisors is an integer number (10459053234).

Almost surely, 2^416230563504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416230563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627543194040).

416230563504 is an abundant number, since it is smaller than the sum of its proper divisors (838855824576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416230563504 is a wasteful number, since it uses less digits than its factorization.

416230563504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604307 (or 604294 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 416230563504 in words is "four hundred sixteen billion, two hundred thirty million, five hundred sixty-three thousand, five hundred four".