416508438528 has 1152 divisors, whose sum is σ = 1628715029760. Its totient is φ = 103195607040.

The previous prime is 416508438487. The next prime is 416508438539. The reversal of 416508438528 is 825834805614.

416508438528 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 0 + 84 + 38 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769885938 + ... + 769886478.

It is an arithmetic number, because the mean of its divisors is an integer number (1413815130).

Almost surely, 2^416508438528 is an apocalyptic number.

416508438528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416508438528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814357514880).

416508438528 is an abundant number, since it is smaller than the sum of its proper divisors (1212206591232).

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

416508438528 is a wasteful number, since it uses less digits than its factorization.

416508438528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 416508438528 in words is "four hundred sixteen billion, five hundred eight million, four hundred thirty-eight thousand, five hundred twenty-eight".