245214000 has 320 divisors, whose sum is σ = 928512000. Its totient is φ = 61689600.

The previous prime is 245213953. The next prime is 245214007. The reversal of 245214000 is 412542.

245214000 is a `hidden beast` number, since 245 + 21 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (245214007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025881 + ... + 1026119.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^245214000 is an apocalyptic number.

245214000 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 245214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256000).

245214000 is an abundant number, since it is smaller than the sum of its proper divisors (683298000).

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

245214000 is a wasteful number, since it uses less digits than its factorization.

245214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 245214000 is about 15659.3103296410. The cubic root of 245214000 is about 625.9146076025.

Adding to 245214000 its reverse (412542), we get a palindrome (245626542).

The spelling of 245214000 in words is "two hundred forty-five million, two hundred fourteen thousand".