4631140 has 48 divisors (see below), whose sum is σ = 10532592. Its totient is φ = 1703936.

The previous prime is 4631131. The next prime is 4631141. The reversal of 4631140 is 411364.

4631140 = T₁₉₀ + T₁₉₁ + ... + T₃₂₅.

It is a happy number.

4631140 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 8 ways, for example, as 1149184 + 3481956 = 1072^2 + 1866^2 .

It is not an unprimeable number, because it can be changed into a prime (4631141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17892 + ... + 18148.

It is an arithmetic number, because the mean of its divisors is an integer number (219429).

Almost surely, 2^4631140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266296).

4631140 is an abundant number, since it is smaller than the sum of its proper divisors (5901452).

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

4631140 is a wasteful number, since it uses less digits than its factorization.

4631140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4631140 is about 2152.0083642960. The cubic root of 4631140 is about 166.6847891405.

The spelling of 4631140 in words is "four million, six hundred thirty-one thousand, one hundred forty".