245778624 has 280 divisors, whose sum is σ = 898416288. Its totient is φ = 64696320.

The previous prime is 245778613. The next prime is 245778653. The reversal of 245778624 is 426877542.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 245778624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471484 + ... + 472004.

Almost surely, 2^245778624 is an apocalyptic number.

245778624 is a gapful number since it is divisible by the number (24) 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 245778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449208144).

245778624 is an abundant number, since it is smaller than the sum of its proper divisors (652637664).

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

245778624 is a wasteful number, since it uses less digits than its factorization.

245778624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 546 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 245778624 is about 15677.3283438219. The cubic root of 245778624 is about 626.3946447774.

The spelling of 245778624 in words is "two hundred forty-five million, seven hundred seventy-eight thousand, six hundred twenty-four".