1471407120 has 600 divisors, whose sum is σ = 5865153624. Its totient is φ = 340402176.

The previous prime is 1471407097. The next prime is 1471407127. The reversal of 1471407120 is 217041741.

It can be written as a sum of positive squares in 4 ways, for example, as 606341376 + 865065744 = 24624^2 + 29412^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1471407127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39767742 + ... + 39767778.

Almost surely, 2^1471407120 is an apocalyptic number.

1471407120 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 1471407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932576812).

1471407120 is an abundant number, since it is smaller than the sum of its proper divisors (4393746504).

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

1471407120 is a wasteful number, since it uses less digits than its factorization.

1471407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 1471407120 is about 38358.9249067280. The cubic root of 1471407120 is about 1137.3940475318.

Adding to 1471407120 its reverse (217041741), we get a palindrome (1688448861).

The spelling of 1471407120 in words is "one billion, four hundred seventy-one million, four hundred seven thousand, one hundred twenty".