219742464 has 72 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 72951808.

The previous prime is 219742463. The next prime is 219742469. The reversal of 219742464 is 464247912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219742463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275314 + ... + 276110.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2^219742464 is an apocalyptic number.

219742464 is a gapful number since it is divisible by the number (24) 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 219742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

219742464 is an abundant number, since it is smaller than the sum of its proper divisors (367457856).

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

219742464 is an equidigital number, since it uses as much as digits as its factorization.

219742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1161 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 219742464 is about 14823.7128952230. The cubic root of 219742464 is about 603.4454216894.

The spelling of 219742464 in words is "two hundred nineteen million, seven hundred forty-two thousand, four hundred sixty-four".