4631880 has 128 divisors (see below), whose sum is σ = 15811200. Its totient is φ = 1084160.

The previous prime is 4631867. The next prime is 4631881. The reversal of 4631880 is 881364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4631881) 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, 159706 + ... + 159734.

It is an arithmetic number, because the mean of its divisors is an integer number (123525).

Almost surely, 2^4631880 is an apocalyptic number.

4631880 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 4631880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905600).

4631880 is an abundant number, since it is smaller than the sum of its proper divisors (11179320).

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

4631880 is a wasteful number, since it uses less digits than its factorization.

4631880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4631880 is about 2152.1802898456. The cubic root of 4631880 is about 166.6936667369.

The spelling of 4631880 in words is "four million, six hundred thirty-one thousand, eight hundred eighty".