514442000 has 40 divisors (see below), whose sum is σ = 1243925592. Its totient is φ = 205776000.

The previous prime is 514441979. The next prime is 514442029. The reversal of 514442000 is 244415.

It can be written as a sum of positive squares in 4 ways, for example, as 6210064 + 508231936 = 2492^2 + 22544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126611 + ... + 130610.

Almost surely, 2^514442000 is an apocalyptic number.

514442000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514442000 is an abundant number, since it is smaller than the sum of its proper divisors (729483592).

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

514442000 is a wasteful number, since it uses less digits than its factorization.

514442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257244 (or 257228 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 514442000 is about 22681.3138949224. The cubic root of 514442000 is about 801.2698582585.

Adding to 514442000 its reverse (244415), we get a palindrome (514686415).

The spelling of 514442000 in words is "five hundred fourteen million, four hundred forty-two thousand".