248764320 has 576 divisors, whose sum is σ = 1075576320. Its totient is φ = 51093504.

The previous prime is 248764319. The next prime is 248764381. The reversal of 248764320 is 23467842.

248764320 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 643 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6723342 + ... + 6723378.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^248764320 is an apocalyptic number.

248764320 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 248764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

248764320 is an abundant number, since it is smaller than the sum of its proper divisors (826812000).

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

248764320 is a wasteful number, since it uses less digits than its factorization.

248764320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 248764320 is about 15772.2642635736. The cubic root of 248764320 is about 628.9209040478.

The spelling of 248764320 in words is "two hundred forty-eight million, seven hundred sixty-four thousand, three hundred twenty".