214145440 has 48 divisors (see below), whose sum is σ = 515484648. Its totient is φ = 84038656.

The previous prime is 214145431. The next prime is 214145471. The reversal of 214145440 is 44541412.

It can be written as a sum of positive squares in 4 ways, for example, as 213276816 + 868624 = 14604^2 + 932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4147 + ... + 21106.

Almost surely, 2^214145440 is an apocalyptic number.

214145440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214145440 is an abundant number, since it is smaller than the sum of its proper divisors (301339208).

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

214145440 is a wasteful number, since it uses less digits than its factorization.

214145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25321 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 214145440 is about 14633.7090308643. The cubic root of 214145440 is about 598.2778766960.

Adding to 214145440 its reverse (44541412), we get a palindrome (258686852).

The spelling of 214145440 in words is "two hundred fourteen million, one hundred forty-five thousand, four hundred forty".