484115940 has 240 divisors, whose sum is σ = 1893919104. Its totient is φ = 100569600.

The previous prime is 484115911. The next prime is 484115969. The reversal of 484115940 is 49511484.

It is an interprime number because it is at equal distance from previous prime (484115911) and next prime (484115969).

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

It is a junction number, because it is equal to n+sod(n) for n = 484115895 and 484115904.

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, 122800 + ... + 126680.

Almost surely, 2^484115940 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 484115940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946959552).

484115940 is an abundant number, since it is smaller than the sum of its proper divisors (1409803164).

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

484115940 is a wasteful number, since it uses less digits than its factorization.

484115940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 484115940 is about 22002.6348422183. The cubic root of 484115940 is about 785.2051284830.

The spelling of 484115940 in words is "four hundred eighty-four million, one hundred fifteen thousand, nine hundred forty".