1282348480 has 224 divisors, whose sum is σ = 3675156480. Its totient is φ = 416931840.

The previous prime is 1282348453. The next prime is 1282348481. The reversal of 1282348480 is 848432821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282348481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4096804 + ... + 4097116.

Almost surely, 2^1282348480 is an apocalyptic number.

1282348480 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 1282348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837578240).

1282348480 is an abundant number, since it is smaller than the sum of its proper divisors (2392808000).

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

1282348480 is a wasteful number, since it uses less digits than its factorization.

1282348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 1282348480 is about 35809.8936049802. The cubic root of 1282348480 is about 1086.4306779670.

The spelling of 1282348480 in words is "one billion, two hundred eighty-two million, three hundred forty-eight thousand, four hundred eighty".