416726688 has 96 divisors (see below), whose sum is σ = 1256532480. Its totient is φ = 118460160.

The previous prime is 416726663. The next prime is 416726689. The reversal of 416726688 is 886627614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×416726688² = 347322264982898688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (416726689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140323 + ... + 143261.

It is an arithmetic number, because the mean of its divisors is an integer number (13088880).

Almost surely, 2^416726688 is an apocalyptic number.

416726688 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 416726688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628266240).

416726688 is an abundant number, since it is smaller than the sum of its proper divisors (839805792).

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

416726688 is a wasteful number, since it uses less digits than its factorization.

416726688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3162 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 416726688 is about 20413.8846866538. The cubic root of 416726688 is about 746.9366533560.

The spelling of 416726688 in words is "four hundred sixteen million, seven hundred twenty-six thousand, six hundred eighty-eight".