248784480 has 384 divisors, whose sum is σ = 1049932800. Its totient is φ = 53747712.

The previous prime is 248784479. The next prime is 248784493. The reversal of 248784480 is 84487842.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 574344 + ... + 574776.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^248784480 is an apocalyptic number.

248784480 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 248784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

248784480 is an abundant number, since it is smaller than the sum of its proper divisors (801148320).

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

248784480 is a wasteful number, since it uses less digits than its factorization.

248784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 248784480 is about 15772.9033471964. The cubic root of 248784480 is about 628.9378929564.

The spelling of 248784480 in words is "two hundred forty-eight million, seven hundred eighty-four thousand, four hundred eighty".