416369088 has 84 divisors (see below), whose sum is σ = 1211371720. Its totient is φ = 136705536.

The previous prime is 416369087. The next prime is 416369123. The reversal of 416369088 is 880963614.

416369088 is a `hidden beast` number, since 4 + 1 + 636 + 9 + 0 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416369081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33198 + ... + 43986.

Almost surely, 2^416369088 is an apocalyptic number.

416369088 is a gapful number since it is divisible by the number (48) 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 416369088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605685860).

416369088 is an abundant number, since it is smaller than the sum of its proper divisors (795002632).

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

416369088 is a wasteful number, since it uses less digits than its factorization.

416369088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10874 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 416369088 is about 20405.1240623526. The cubic root of 416369088 is about 746.7229393530.

The spelling of 416369088 in words is "four hundred sixteen million, three hundred sixty-nine thousand, eighty-eight".