248997420 has 288 divisors, whose sum is σ = 912912000. Its totient is φ = 54867456.

The previous prime is 248997403. The next prime is 248997431. The reversal of 248997420 is 24799842.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2284326 + ... + 2284434.

Almost surely, 2^248997420 is an apocalyptic number.

248997420 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 248997420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456456000).

248997420 is an abundant number, since it is smaller than the sum of its proper divisors (663914580).

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

248997420 is a wasteful number, since it uses less digits than its factorization.

248997420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 248997420 is about 15779.6520874194. The cubic root of 248997420 is about 629.1172822857.

The spelling of 248997420 in words is "two hundred forty-eight million, nine hundred ninety-seven thousand, four hundred twenty".