245913024 has 224 divisors, whose sum is σ = 807598080. Its totient is φ = 64438272.

The previous prime is 245913023. The next prime is 245913043. The reversal of 245913024 is 420319542.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 245912982 and 245913000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245913023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073742 + ... + 1073970.

Almost surely, 2^245913024 is an apocalyptic number.

245913024 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 245913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403799040).

245913024 is an abundant number, since it is smaller than the sum of its proper divisors (561685056).

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

245913024 is a wasteful number, since it uses less digits than its factorization.

245913024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 245913024 is about 15681.6142026260. The cubic root of 245913024 is about 626.5088018429.

The spelling of 245913024 in words is "two hundred forty-five million, nine hundred thirteen thousand, twenty-four".