4632040 has 64 divisors (see below), whose sum is σ = 12130560. Its totient is φ = 1559040.

The previous prime is 4632011. The next prime is 4632053. The reversal of 4632040 is 402364.

It is a junction number, because it is equal to n+sod(n) for n = 4631999 and 4632017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19764 + ... + 19996.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 2^4632040 is an apocalyptic number.

4632040 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 4632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

4632040 is an abundant number, since it is smaller than the sum of its proper divisors (7498520).

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

4632040 is a wasteful number, since it uses less digits than its factorization.

4632040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4632040 is about 2152.2174611317. The cubic root of 4632040 is about 166.6955860928.

It can be divided in two parts, 46320 and 40, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 4632040 in words is "four million, six hundred thirty-two thousand, forty".