248062500 has 315 divisors, whose sum is σ = 942937149. Its totient is φ = 56700000.

The previous prime is 248062489. The next prime is 248062511. The reversal of 248062500 is 5260842.

The square root of 248062500 is 15750.

It is a perfect power (a square), and thus also a powerful number.

248062500 is a `hidden beast` number, since 24 + 80 + 62 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (248062489) and next prime (248062511).

It can be written as a sum of positive squares in 3 ways, for example, as 217326564 + 30735936 = 14742^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 104 ways as a sum of consecutive naturals, for example, 35437497 + ... + 35437503.

Almost surely, 2^248062500 is an apocalyptic number.

248062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248062500 is the 15750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248062500

248062500 is an abundant number, since it is smaller than the sum of its proper divisors (694874649).

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

248062500 is an frugal number, since it uses more digits than its factorization.

248062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 248062500 is about 628.3289046180.

It can be divided in two parts, 2480 and 62500, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 248062500 in words is "two hundred forty-eight million, sixty-two thousand, five hundred".