416088 has 24 divisors (see below), whose sum is σ = 1127100. Its totient is φ = 138672.

The previous prime is 416077. The next prime is 416089. The reversal of 416088 is 880614.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416089) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2818 + ... + 2961.

2⁴¹⁶⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

416088 is an abundant number, since it is smaller than the sum of its proper divisors (711012).

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

416088 is a wasteful number, since it uses less digits than its factorization.

416088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 416088 is about 645.0488353605. The cubic root of 416088 is about 74.6554865630.

It can be divided in two parts, 41608 and 8, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 416088 in words is "four hundred sixteen thousand, eighty-eight".