219678480 has 400 divisors, whose sum is σ = 907441920. Its totient is φ = 48190464.

The previous prime is 219678439. The next prime is 219678521. The reversal of 219678480 is 84876912.

It is an interprime number because it is at equal distance from previous prime (219678439) and next prime (219678521).

It is a super-2 number, since 2×219678480² = 96517269150220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1315357 + ... + 1315523.

Almost surely, 2^219678480 is an apocalyptic number.

219678480 is a gapful number since it is divisible by the number (20) 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 219678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

219678480 is an abundant number, since it is smaller than the sum of its proper divisors (687763440).

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

219678480 is a wasteful number, since it uses less digits than its factorization.

219678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 219678480 is about 14821.5545743353. The cubic root of 219678480 is about 603.3868461501.

The spelling of 219678480 in words is "two hundred nineteen million, six hundred seventy-eight thousand, four hundred eighty".