245940480 has 216 divisors, whose sum is σ = 875441112. Its totient is φ = 63700992.

The previous prime is 245940469. The next prime is 245940533. The reversal of 245940480 is 84049542.

245940480 is a `hidden beast` number, since 24 + 594 + 0 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150994944 + 94945536 = 12288^2 + 9744^2 .

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

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, 425952 + ... + 426528.

Almost surely, 2^245940480 is an apocalyptic number.

245940480 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 245940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437720556).

245940480 is an abundant number, since it is smaller than the sum of its proper divisors (629500632).

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

245940480 is a wasteful number, since it uses less digits than its factorization.

245940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

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

The square root of 245940480 is about 15682.4895982749. The cubic root of 245940480 is about 626.5321173838.

The spelling of 245940480 in words is "two hundred forty-five million, nine hundred forty thousand, four hundred eighty".