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4914000 = 243353713

4914000 has 320 divisors, whose sum is σ = 21665280. Its totient is φ = 1036800.

The previous prime is 4913999. The next prime is 4914029. The reversal of 4914000 is 4194.

Adding to 4914000 its reverse (4194), we get a palindrome (4918194).

4914000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4914000 = 103 + 1703 = 753 + 1653.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377994 + ... + 378006.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

Almost surely, 24914000 is an apocalyptic number.

4914000 is a gapful number since it is divisible by the number (40) 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 4914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832640).

4914000 is an abundant number, since it is smaller than the sum of its proper divisors (16751280).

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

4914000 is a wasteful number, since it uses less digits than its factorization.

4914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4914000 is about 2216.7543842293. The cubic root of 4914000 is about 170.0115332429.

The spelling of 4914000 in words is "four million, nine hundred fourteen thousand".