416116632 has 32 divisors (see below), whose sum is σ = 1055822400. Its totient is φ = 136634784.

The previous prime is 416116583. The next prime is 416116637. The reversal of 416116632 is 236611614.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 416116632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416116637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127782 + ... + 130997.

It is an arithmetic number, because the mean of its divisors is an integer number (32994450).

Almost surely, 2^416116632 is an apocalyptic number.

It is an amenable number.

416116632 is an abundant number, since it is smaller than the sum of its proper divisors (639705768).

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

416116632 is a wasteful number, since it uses less digits than its factorization.

416116632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258855 (or 258851 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 416116632 is about 20398.9370311298. The cubic root of 416116632 is about 746.5719893064.

The spelling of 416116632 in words is "four hundred sixteen million, one hundred sixteen thousand, six hundred thirty-two".