416402688 has 144 divisors (see below), whose sum is σ = 1205305920. Its totient is φ = 126861312.

The previous prime is 416402687. The next prime is 416402737. The reversal of 416402688 is 886204614.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416402687) 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 15 ways as a sum of consecutive naturals, for example, 1787020 + ... + 1787252.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^416402688 is an apocalyptic number.

416402688 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 416402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602652960).

416402688 is an abundant number, since it is smaller than the sum of its proper divisors (788903232).

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

416402688 is a wasteful number, since it uses less digits than its factorization.

416402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 416402688 is about 20405.9473683532. The cubic root of 416402688 is about 746.7430250707.

The spelling of 416402688 in words is "four hundred sixteen million, four hundred two thousand, six hundred eighty-eight".