416495440 has 20 divisors (see below), whose sum is σ = 968352084. Its totient is φ = 166598144.

The previous prime is 416495407. The next prime is 416495473. The reversal of 416495440 is 44594614.

It is an interprime number because it is at equal distance from previous prime (416495407) and next prime (416495473).

It can be written as a sum of positive squares in 2 ways, for example, as 273836304 + 142659136 = 16548^2 + 11944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 416495440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2603017 + ... + 2603176.

Almost surely, 2^416495440 is an apocalyptic number.

416495440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416495440 is an abundant number, since it is smaller than the sum of its proper divisors (551856644).

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

416495440 is a wasteful number, since it uses less digits than its factorization.

416495440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206206 (or 5206200 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 416495440 is about 20408.2199125744. The cubic root of 416495440 is about 746.7984656087.

It can be divided in two parts, 41649 and 5440, that added together give a square (47089 = 217²).

The spelling of 416495440 in words is "four hundred sixteen million, four hundred ninety-five thousand, four hundred forty".