1485793920 has 384 divisors, whose sum is σ = 5420606400. Its totient is φ = 345047040.

The previous prime is 1485793913. The next prime is 1485793927. The reversal of 1485793920 is 293975841.

It is an interprime number because it is at equal distance from previous prime (1485793913) and next prime (1485793927).

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1485793920.

It is not an unprimeable number, because it can be changed into a prime (1485793927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6165000 + ... + 6165240.

Almost surely, 2^1485793920 is an apocalyptic number.

1485793920 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 1485793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710303200).

1485793920 is an abundant number, since it is smaller than the sum of its proper divisors (3934812480).

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

1485793920 is a wasteful number, since it uses less digits than its factorization.

1485793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1485793920 is about 38545.9974575831. The cubic root of 1485793920 is about 1141.0890178326.

The spelling of 1485793920 in words is "one billion, four hundred eighty-five million, seven hundred ninety-three thousand, nine hundred twenty".