248463383040 has 1280 divisors, whose sum is σ = 1018220544000. Its totient is φ = 57012387840.

The previous prime is 248463383039. The next prime is 248463383041. The reversal of 248463383040 is 40383364842.

248463383040 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 6 + 338 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248463383039) and next prime (248463383041).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (248463383041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 692098381 + ... + 692098739.

It is an arithmetic number, because the mean of its divisors is an integer number (795484800).

Almost surely, 2^248463383040 is an apocalyptic number.

248463383040 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 248463383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509110272000).

248463383040 is an abundant number, since it is smaller than the sum of its proper divisors (769757160960).

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

248463383040 is a wasteful number, since it uses less digits than its factorization.

248463383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 248463383040 in words is "two hundred forty-eight billion, four hundred sixty-three million, three hundred eighty-three thousand, forty".