1471468320 has 576 divisors, whose sum is σ = 6294951936. Its totient is φ = 305233920.

The previous prime is 1471468283. The next prime is 1471468321. The reversal of 1471468320 is 238641741.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1471468321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5312022 + ... + 5312298.

It is an arithmetic number, because the mean of its divisors is an integer number (10928736).

Almost surely, 2^1471468320 is an apocalyptic number.

1471468320 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 1471468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147475968).

1471468320 is an abundant number, since it is smaller than the sum of its proper divisors (4823483616).

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

1471468320 is a wasteful number, since it uses less digits than its factorization.

1471468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1471468320 is about 38359.7226267344. The cubic root of 1471468320 is about 1137.4098164625.

The spelling of 1471468320 in words is "one billion, four hundred seventy-one million, four hundred sixty-eight thousand, three hundred twenty".