214314984 has 240 divisors, whose sum is σ = 690861600. Its totient is φ = 61865856.

The previous prime is 214314979. The next prime is 214315043. The reversal of 214314984 is 489413412.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2080677 + ... + 2080779.

It is an arithmetic number, because the mean of its divisors is an integer number (2878590).

Almost surely, 2^214314984 is an apocalyptic number.

214314984 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 214314984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345430800).

214314984 is an abundant number, since it is smaller than the sum of its proper divisors (476546616).

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

214314984 is a wasteful number, since it uses less digits than its factorization.

214314984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 214314984 is about 14639.5008111616. The cubic root of 214314984 is about 598.4357252852.

The spelling of 214314984 in words is "two hundred fourteen million, three hundred fourteen thousand, nine hundred eighty-four".