1471488480 has 576 divisors, whose sum is σ = 6544032768. Its totient is φ = 291962880.

The previous prime is 1471488461. The next prime is 1471488539. The reversal of 1471488480 is 848841741.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2549952 + ... + 2550528.

It is an arithmetic number, because the mean of its divisors is an integer number (11361168).

Almost surely, 2^1471488480 is an apocalyptic number.

1471488480 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 1471488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272016384).

1471488480 is an abundant number, since it is smaller than the sum of its proper divisors (5072544288).

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

1471488480 is a wasteful number, since it uses less digits than its factorization.

1471488480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 1471488480 is about 38359.9854014571. The cubic root of 1471488480 is about 1137.4150108381.

The spelling of 1471488480 in words is "one billion, four hundred seventy-one million, four hundred eighty-eight thousand, four hundred eighty".