214993480 has 48 divisors (see below), whose sum is σ = 521757180. Its totient is φ = 79258752.

The previous prime is 214993477. The next prime is 214993481. The reversal of 214993480 is 84399412.

It can be written as a sum of positive squares in 2 ways, for example, as 200109316 + 14884164 = 14146^2 + 3858^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (214993481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334039 + ... + 334681.

Almost surely, 2^214993480 is an apocalyptic number.

214993480 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 214993480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260878590).

214993480 is an abundant number, since it is smaller than the sum of its proper divisors (306763700).

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

214993480 is an equidigital number, since it uses as much as digits as its factorization.

214993480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 214993480 is about 14662.6559667749. The cubic root of 214993480 is about 599.0665856862.

The spelling of 214993480 in words is "two hundred fourteen million, nine hundred ninety-three thousand, four hundred eighty".