4646880 has 144 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 1059840.

The previous prime is 4646857. The next prime is 4646891. The reversal of 4646880 is 886464.

4646880 is a `hidden beast` number, since 4 + 646 + 8 + 8 + 0 = 666.

4646880 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

4646880 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9850 + ... + 10310.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 2^4646880 is an apocalyptic number.

4646880 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 4646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

4646880 is an abundant number, since it is smaller than the sum of its proper divisors (13515264).

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

4646880 is a wasteful number, since it uses less digits than its factorization.

4646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4646880 is about 2155.6623112167. The cubic root of 4646880 is about 166.8734145370.

The spelling of 4646880 in words is "four million, six hundred forty-six thousand, eight hundred eighty".