214993440 has 240 divisors, whose sum is σ = 775533528. Its totient is φ = 56070144.

The previous prime is 214993439. The next prime is 214993459. The reversal of 214993440 is 44399412.

It can be written as a sum of positive squares in 4 ways, for example, as 125350416 + 89643024 = 11196^2 + 9468^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 214993395 and 214993404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686724 + ... + 687036.

Almost surely, 2^214993440 is an apocalyptic number.

214993440 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 214993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387766764).

214993440 is an abundant number, since it is smaller than the sum of its proper divisors (560540088).

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

214993440 is a wasteful number, since it uses less digits than its factorization.

214993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 214993440 is about 14662.6546027655. The cubic root of 214993440 is about 599.0665485337.

The spelling of 214993440 in words is "two hundred fourteen million, nine hundred ninety-three thousand, four hundred forty".