283412754240 has 672 divisors, whose sum is σ = 1145498433408. Its totient is φ = 58705920000.

The previous prime is 283412754227. The next prime is 283412754259. The reversal of 283412754240 is 42457214382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 283412754192 and 283412754201.

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, 217841590 + ... + 217842890.

It is an arithmetic number, because the mean of its divisors is an integer number (1704610764).

Almost surely, 2^283412754240 is an apocalyptic number.

283412754240 is a gapful number since it is divisible by the number (20) 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 283412754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572749216704).

283412754240 is an abundant number, since it is smaller than the sum of its proper divisors (862085679168).

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

283412754240 is a wasteful number, since it uses less digits than its factorization.

283412754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 283412754240 in words is "two hundred eighty-three billion, four hundred twelve million, seven hundred fifty-four thousand, two hundred forty".