919414080 has 252 divisors, whose sum is σ = 3426188220. Its totient is φ = 226197504.

The previous prime is 919414061. The next prime is 919414081. The reversal of 919414080 is 80414919.

It can be written as a sum of positive squares in 6 ways, for example, as 189117504 + 730296576 = 13752^2 + 27024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919414081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 485776 + ... + 487664.

It is an arithmetic number, because the mean of its divisors is an integer number (13595985).

Almost surely, 2^919414080 is an apocalyptic number.

919414080 is a gapful number since it is divisible by the number (90) 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 919414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713094110).

919414080 is an abundant number, since it is smaller than the sum of its proper divisors (2506774140).

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

919414080 is a wasteful number, since it uses less digits than its factorization.

919414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 919414080 is about 30321.8416327241. The cubic root of 919414080 is about 972.3823116307.

Adding to 919414080 its reverse (80414919), we get a palindrome (999828999).

The spelling of 919414080 in words is "nine hundred nineteen million, four hundred fourteen thousand, eighty".