1410888960 has 216 divisors, whose sum is σ = 5257589064. Its totient is φ = 347258880.

The previous prime is 1410888907. The next prime is 1410888971. The reversal of 1410888960 is 698880141.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 1408951296 = 1392^2 + 37536^2 .

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 23 ways as a sum of consecutive naturals, for example, 145050 + ... + 154470.

Almost surely, 2^1410888960 is an apocalyptic number.

1410888960 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 1410888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628794532).

1410888960 is an abundant number, since it is smaller than the sum of its proper divisors (3846700104).

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

1410888960 is a wasteful number, since it uses less digits than its factorization.

1410888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9461 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1410888960 is about 37561.8018737121. The cubic root of 1410888960 is about 1121.5817786042.

The spelling of 1410888960 in words is "one billion, four hundred ten million, eight hundred eighty-eight thousand, nine hundred sixty".