416761640 has 16 divisors (see below), whose sum is σ = 937713780. Its totient is φ = 166704640.

The previous prime is 416761627. The next prime is 416761649. The reversal of 416761640 is 46167614.

It can be written as a sum of positive squares in 2 ways, for example, as 389115076 + 27646564 = 19726^2 + 5258^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 416761640.

It is not an unprimeable number, because it can be changed into a prime (416761649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5209481 + ... + 5209560.

Almost surely, 2^416761640 is an apocalyptic number.

416761640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416761640 is an abundant number, since it is smaller than the sum of its proper divisors (520952140).

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

416761640 is a wasteful number, since it uses less digits than its factorization.

416761640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10419052 (or 10419048 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 416761640 is about 20414.7407527012. The cubic root of 416761640 is about 746.9575353080.

The spelling of 416761640 in words is "four hundred sixteen million, seven hundred sixty-one thousand, six hundred forty".