245538540 has 240 divisors, whose sum is σ = 845238240. Its totient is φ = 59304960.

The previous prime is 245538529. The next prime is 245538607. The reversal of 245538540 is 45835542.

245538540 is a `hidden beast` number, since 24 + 553 + 85 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 245538495 and 245538504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1874275 + ... + 1874405.

It is an arithmetic number, because the mean of its divisors is an integer number (3521826).

Almost surely, 2^245538540 is an apocalyptic number.

245538540 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 245538540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422619120).

245538540 is an abundant number, since it is smaller than the sum of its proper divisors (599699700).

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

245538540 is a wasteful number, since it uses less digits than its factorization.

245538540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 245538540 is about 15669.6694285489. The cubic root of 245538540 is about 626.1906179128.

The spelling of 245538540 in words is "two hundred forty-five million, five hundred thirty-eight thousand, five hundred forty".