248397408 has 192 divisors, whose sum is σ = 841720320. Its totient is φ = 69797376.

The previous prime is 248397377. The next prime is 248397419. The reversal of 248397408 is 804793842.

It is a super-2 number, since 2×248397408² = 123402544602236928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404910 + ... + 405522.

It is an arithmetic number, because the mean of its divisors is an integer number (4383960).

Almost surely, 2^248397408 is an apocalyptic number.

248397408 is a gapful number since it is divisible by the number (28) 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 248397408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420860160).

248397408 is an abundant number, since it is smaller than the sum of its proper divisors (593322912).

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

248397408 is a wasteful number, since it uses less digits than its factorization.

248397408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 248397408 is about 15760.6284138673. The cubic root of 248397408 is about 628.6115454128.

The spelling of 248397408 in words is "two hundred forty-eight million, three hundred ninety-seven thousand, four hundred eight".