214804044 has 432 divisors, whose sum is σ = 784274400. Its totient is φ = 48771072.

The previous prime is 214804021. The next prime is 214804069. The reversal of 214804044 is 440408412.

It is a happy number.

214804044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214804044² = 92281554637507872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214803999 and 214804017.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7407022 + ... + 7407050.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^214804044 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 214804044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

214804044 is an abundant number, since it is smaller than the sum of its proper divisors (569470356).

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

214804044 is a wasteful number, since it uses less digits than its factorization.

214804044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 214804044 is about 14656.1947312391. The cubic root of 214804044 is about 598.8905832551.

The spelling of 214804044 in words is "two hundred fourteen million, eight hundred four thousand, forty-four".