1282417920 has 864 divisors, whose sum is σ = 5714042880. Its totient is φ = 268738560.

The previous prime is 1282417909. The next prime is 1282417931. The reversal of 1282417920 is 297142821.

It is an interprime number because it is at equal distance from previous prime (1282417909) and next prime (1282417931).

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 41368305 + ... + 41368335.

Almost surely, 2^1282417920 is an apocalyptic number.

1282417920 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 1282417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857021440).

1282417920 is an abundant number, since it is smaller than the sum of its proper divisors (4431624960).

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

1282417920 is an equidigital number, since it uses as much as digits as its factorization.

1282417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1282417920 is about 35810.8631563105. The cubic root of 1282417920 is about 1086.4502879212.

It can be divided in two parts, 128241 and 7920, that added together give a square (136161 = 369²).

The spelling of 1282417920 in words is "one billion, two hundred eighty-two million, four hundred seventeen thousand, nine hundred twenty".