214923408 has 240 divisors, whose sum is σ = 702276480. Its totient is φ = 56297472.

The previous prime is 214923407. The next prime is 214923409. The reversal of 214923408 is 804329412.

214923408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214923407) and next prime (214923409).

It is not an unprimeable number, because it can be changed into a prime (214923407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568716 + ... + 1568852.

It is an arithmetic number, because the mean of its divisors is an integer number (2926152).

Almost surely, 2^214923408 is an apocalyptic number.

214923408 is a gapful number since it is divisible by the number (28) 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 214923408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351138240).

214923408 is an abundant number, since it is smaller than the sum of its proper divisors (487353072).

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

214923408 is a wasteful number, since it uses less digits than its factorization.

214923408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 214923408 is about 14660.2663004463. The cubic root of 214923408 is about 599.0014947896.

The spelling of 214923408 in words is "two hundred fourteen million, nine hundred twenty-three thousand, four hundred eight".