484525440 has 384 divisors, whose sum is σ = 1953357120. Its totient is φ = 108380160.

The previous prime is 484525421. The next prime is 484525451. The reversal of 484525440 is 44525484.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 484525395 and 484525404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459422 + ... + 2459618.

Almost surely, 2^484525440 is an apocalyptic number.

484525440 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 484525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976678560).

484525440 is an abundant number, since it is smaller than the sum of its proper divisors (1468831680).

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

484525440 is a wasteful number, since it uses less digits than its factorization.

484525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 484525440 is about 22011.9385788712. The cubic root of 484525440 is about 785.4264603688.

The spelling of 484525440 in words is "four hundred eighty-four million, five hundred twenty-five thousand, four hundred forty".