214748416 has 36 divisors (see below), whose sum is σ = 429941092. Its totient is φ = 107053056.

The previous prime is 214748399. The next prime is 214748419. The reversal of 214748416 is 614847412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 166306816 = 6960^2 + 12896^2 .

It is a super-2 number, since 2×214748416² = 92233764349018112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214748419) 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 3 ways as a sum of consecutive naturals, for example, 100576 + ... + 102688.

Almost surely, 2^214748416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214970546).

214748416 is an abundant number, since it is smaller than the sum of its proper divisors (215192676).

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

214748416 is an equidigital number, since it uses as much as digits as its factorization.

214748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2512 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 214748416 is about 14654.2968442706. The cubic root of 214748416 is about 598.8388803774.

It can be divided in two parts, 21474 and 8416, that added together give a triangular number (29890 = T₂₄₄).

The spelling of 214748416 in words is "two hundred fourteen million, seven hundred forty-eight thousand, four hundred sixteen".