248490540 has 72 divisors (see below), whose sum is σ = 764120448. Its totient is φ = 65352960.

The previous prime is 248490533. The next prime is 248490559. The reversal of 248490540 is 45094842.

248490540 is a `hidden beast` number, since 24 + 8 + 4 + 90 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 248490495 and 248490504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3685 + ... + 22595.

It is an arithmetic number, because the mean of its divisors is an integer number (10612784).

Almost surely, 2^248490540 is an apocalyptic number.

248490540 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 248490540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382060224).

248490540 is an abundant number, since it is smaller than the sum of its proper divisors (515629908).

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

248490540 is a wasteful number, since it uses less digits than its factorization.

248490540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18999 (or 18994 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 248490540 is about 15763.5827145989. The cubic root of 248490540 is about 628.6900976755.

The spelling of 248490540 in words is "two hundred forty-eight million, four hundred ninety thousand, five hundred forty".