484043040 has 480 divisors, whose sum is σ = 1959415920. Its totient is φ = 112140288.

The previous prime is 484043009. The next prime is 484043093. The reversal of 484043040 is 40340484.

It can be written as a sum of positive squares in 8 ways, for example, as 6533136 + 477509904 = 2556^2 + 21852^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 484042995 and 484043013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28473112 + ... + 28473128.

Almost surely, 2^484043040 is an apocalyptic number.

484043040 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 484043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979707960).

484043040 is an abundant number, since it is smaller than the sum of its proper divisors (1475372880).

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

484043040 is a wasteful number, since it uses less digits than its factorization.

484043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 484043040 is about 22000.9781600728. The cubic root of 484043040 is about 785.1657134569.

The spelling of 484043040 in words is "four hundred eighty-four million, forty-three thousand, forty".