1485778320 has 240 divisors, whose sum is σ = 5409414192. Its totient is φ = 363294720.

The previous prime is 1485778313. The next prime is 1485778337. The reversal of 1485778320 is 238775841.

1485778320 is a `hidden beast` number, since 1 + 48 + 577 + 8 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 244484496 + 1241293824 = 15636^2 + 35232^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693722 + ... + 1694598.

Almost surely, 2^1485778320 is an apocalyptic number.

1485778320 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 1485778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704707096).

1485778320 is an abundant number, since it is smaller than the sum of its proper divisors (3923635872).

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

1485778320 is a wasteful number, since it uses less digits than its factorization.

1485778320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1485778320 is about 38545.7951014115. The cubic root of 1485778320 is about 1141.0850242211.

The spelling of 1485778320 in words is "one billion, four hundred eighty-five million, seven hundred seventy-eight thousand, three hundred twenty".