214946440 has 32 divisors (see below), whose sum is σ = 491832000. Its totient is φ = 84520384.

The previous prime is 214946437. The next prime is 214946443. The reversal of 214946440 is 44649412.

214946440 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 (214946437) and next prime (214946443).

It is a junction number, because it is equal to n+sod(n) for n = 214946396 and 214946405.

It is not an unprimeable number, because it can be changed into a prime (214946443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43180 + ... + 47899.

It is an arithmetic number, because the mean of its divisors is an integer number (15369750).

Almost surely, 2^214946440 is an apocalyptic number.

214946440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214946440 is an abundant number, since it is smaller than the sum of its proper divisors (276885560).

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

214946440 is a wasteful number, since it uses less digits than its factorization.

214946440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91149 (or 91145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 214946440 is about 14661.0518040146. The cubic root of 214946440 is about 599.0228911090.

The spelling of 214946440 in words is "two hundred fourteen million, nine hundred forty-six thousand, four hundred forty".