1478965320 has 768 divisors, whose sum is σ = 6469632000. Its totient is φ = 284663808.

The previous prime is 1478965307. The next prime is 1478965373. The reversal of 1478965320 is 235698741.

1478965320 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1478965320 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18721041 + ... + 18721119.

It is an arithmetic number, because the mean of its divisors is an integer number (8424000).

It is a 1-persistent number, because it is pandigital, but 2⋅1478965320 = 2957930640 is not.

Almost surely, 2^1478965320 is an apocalyptic number.

1478965320 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 1478965320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234816000).

1478965320 is an abundant number, since it is smaller than the sum of its proper divisors (4990666680).

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

1478965320 is a wasteful number, since it uses less digits than its factorization.

1478965320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

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

The square root of 1478965320 is about 38457.3181592269. The cubic root of 1478965320 is about 1139.3382123876.

The spelling of 1478965320 in words is "one billion, four hundred seventy-eight million, nine hundred sixty-five thousand, three hundred twenty".