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4878720 = 273257112

4878720 has 288 divisors, whose sum is σ = 21162960. Its totient is φ = 1013760.

The previous prime is 4878701. The next prime is 4878721. The reversal of 4878720 is 278784.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4878721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443515 + ... + 443525.

Almost surely, 24878720 is an apocalyptic number.

4878720 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 4878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581480).

4878720 is an abundant number, since it is smaller than the sum of its proper divisors (16284240).

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

4878720 is a wasteful number, since it uses less digits than its factorization.

4878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4878720 is about 2208.7824700500. The cubic root of 4878720 is about 169.6036904383.

The spelling of 4878720 in words is "four million, eight hundred seventy-eight thousand, seven hundred twenty".