1485217440 has 576 divisors, whose sum is σ = 6164121600. Its totient is φ = 325140480.

The previous prime is 1485217417. The next prime is 1485217457. The reversal of 1485217440 is 447125841.

It is a happy number.

1485217440 is a `hidden beast` number, since 1 + 485 + 2 + 174 + 4 + 0 = 666.

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 = 1485217395 and 1485217404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15311472 + ... + 15311568.

It is an arithmetic number, because the mean of its divisors is an integer number (10701600).

Almost surely, 2^1485217440 is an apocalyptic number.

1485217440 is a gapful number since it is divisible by the number (10) 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 1485217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082060800).

1485217440 is an abundant number, since it is smaller than the sum of its proper divisors (4678904160).

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

1485217440 is a wasteful number, since it uses less digits than its factorization.

1485217440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1485217440 is about 38538.5189129006. The cubic root of 1485217440 is about 1140.9414199541.

It can be divided in two parts, 148521 and 7440, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 1485217440 in words is "one billion, four hundred eighty-five million, two hundred seventeen thousand, four hundred forty".