514221000 has 128 divisors (see below), whose sum is σ = 1614936960. Its totient is φ = 136224000.

The previous prime is 514220989. The next prime is 514221007. The reversal of 514221000 is 122415.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (514221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542527 + ... + 543473.

It is an arithmetic number, because the mean of its divisors is an integer number (12616695).

Almost surely, 2^514221000 is an apocalyptic number.

514221000 is a gapful number since it is divisible by the number (50) 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 514221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807468480).

514221000 is an abundant number, since it is smaller than the sum of its proper divisors (1100715960).

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

514221000 is a wasteful number, since it uses less digits than its factorization.

514221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 514221000 is about 22676.4415197799. The cubic root of 514221000 is about 801.1551022042.

Adding to 514221000 its reverse (122415), we get a palindrome (514343415).

The spelling of 514221000 in words is "five hundred fourteen million, two hundred twenty-one thousand".