416509235480 has 128 divisors (see below), whose sum is σ = 1028756332800. Its totient is φ = 150839926272.

The previous prime is 416509235477. The next prime is 416509235497. The reversal of 416509235480 is 84532905614.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5964527 + ... + 6033953.

It is an arithmetic number, because the mean of its divisors is an integer number (8037158850).

Almost surely, 2^416509235480 is an apocalyptic number.

416509235480 is a gapful number since it is divisible by the number (40) 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 416509235480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514378166400).

416509235480 is an abundant number, since it is smaller than the sum of its proper divisors (612247097320).

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

416509235480 is a wasteful number, since it uses less digits than its factorization.

416509235480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69673 (or 69669 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 416509235480 in words is "four hundred sixteen billion, five hundred nine million, two hundred thirty-five thousand, four hundred eighty".