248964408 has 128 divisors (see below), whose sum is σ = 862272000. Its totient is φ = 64661760.

The previous prime is 248964389. The next prime is 248964427. The reversal of 248964408 is 804469842.

It is an interprime number because it is at equal distance from previous prime (248964389) and next prime (248964427).

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, 9148 + ... + 24116.

It is an arithmetic number, because the mean of its divisors is an integer number (6736500).

Almost surely, 2^248964408 is an apocalyptic number.

248964408 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 248964408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431136000).

248964408 is an abundant number, since it is smaller than the sum of its proper divisors (613307592).

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

248964408 is a wasteful number, since it uses less digits than its factorization.

248964408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15002 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248964408 is about 15778.6060220794. The cubic root of 248964408 is about 629.0894783328.

The spelling of 248964408 in words is "two hundred forty-eight million, nine hundred sixty-four thousand, four hundred eight".