283125480 has 384 divisors, whose sum is σ = 1047997440. Its totient is φ = 60825600.

The previous prime is 283125457. The next prime is 283125487. The reversal of 283125480 is 84521382.

It is a super-3 number, since 3×283125480³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (283125487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7652022 + ... + 7652058.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^283125480 is an apocalyptic number.

283125480 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 283125480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523998720).

283125480 is an abundant number, since it is smaller than the sum of its proper divisors (764871960).

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

283125480 is a wasteful number, since it uses less digits than its factorization.

283125480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 283125480 is about 16826.3329338273. The cubic root of 283125480 is about 656.6384635206.

The spelling of 283125480 in words is "two hundred eighty-three million, one hundred twenty-five thousand, four hundred eighty".