1485976320 has 576 divisors, whose sum is σ = 5808230400. Its totient is φ = 358318080.

The previous prime is 1485976309. The next prime is 1485976367. The reversal of 1485976320 is 236795841.

1485976320 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 9 + 7 + 632 + 0 = 666.

1485976320 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

1485976320 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20355804 + ... + 20355876.

It is a 1-persistent number, because it is pandigital, but 2⋅1485976320 = 2971952640 is not.

Almost surely, 2^1485976320 is an apocalyptic number.

1485976320 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 1485976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904115200).

1485976320 is an abundant number, since it is smaller than the sum of its proper divisors (4322254080).

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

1485976320 is a wasteful number, since it uses less digits than its factorization.

1485976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1485976320 is about 38548.3633893840. The cubic root of 1485976320 is about 1141.1357102928.

The spelling of 1485976320 in words is "one billion, four hundred eighty-five million, nine hundred seventy-six thousand, three hundred twenty".