214792416 has 144 divisors (see below), whose sum is σ = 681080400. Its totient is φ = 63811584.

The previous prime is 214792387. The next prime is 214792421. The reversal of 214792416 is 614297412.

It is a happy number.

214792416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×214792416² = 92271563942234112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91870 + ... + 94178.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2^214792416 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 214792416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340540200).

214792416 is an abundant number, since it is smaller than the sum of its proper divisors (466287984).

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

214792416 is a wasteful number, since it uses less digits than its factorization.

214792416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2350 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 214792416 is about 14655.7980335429. The cubic root of 214792416 is about 598.8797764670.

The spelling of 214792416 in words is "two hundred fourteen million, seven hundred ninety-two thousand, four hundred sixteen".