248484600 has 576 divisors, whose sum is σ = 1080555840. Its totient is φ = 49766400.

The previous prime is 248484589. The next prime is 248484611. The reversal of 248484600 is 6484842.

248484600 is a `hidden beast` number, since 2 + 4 + 8 + 48 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (248484589) and next prime (248484611).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6060580 + ... + 6060620.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^248484600 is an apocalyptic number.

248484600 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 248484600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

248484600 is an abundant number, since it is smaller than the sum of its proper divisors (832071240).

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

248484600 is a wasteful number, since it uses less digits than its factorization.

248484600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248484600 is about 15763.3943045272. The cubic root of 248484600 is about 628.6850881636.

The spelling of 248484600 in words is "two hundred forty-eight million, four hundred eighty-four thousand, six hundred".