214484760 has 320 divisors, whose sum is σ = 845064000. Its totient is φ = 48771072.

The previous prime is 214484737. The next prime is 214484789. The reversal of 214484760 is 67484412.

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 79 ways as a sum of consecutive naturals, for example, 1111224 + ... + 1111416.

It is an arithmetic number, because the mean of its divisors is an integer number (2640825).

Almost surely, 2^214484760 is an apocalyptic number.

214484760 is a gapful number since it is divisible by the number (20) 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 214484760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422532000).

214484760 is an abundant number, since it is smaller than the sum of its proper divisors (630579240).

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

214484760 is a wasteful number, since it uses less digits than its factorization.

214484760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 214484760 is about 14645.2982216137. The cubic root of 214484760 is about 598.5937064727.

The spelling of 214484760 in words is "two hundred fourteen million, four hundred eighty-four thousand, seven hundred sixty".