10245456 has 90 divisors (see below), whose sum is σ = 31122078. Its totient is φ = 3144960.

The previous prime is 10245421. The next prime is 10245461. The reversal of 10245456 is 65454201.

It can be written as a sum of positive squares in 3 ways, for example, as 1245456 + 9000000 = 1116^2 + 3000^2 .

It is a super-3 number, since 3×10245456³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24126 + ... + 24546.

Almost surely, 2^10245456 is an apocalyptic number.

10245456 is a gapful number since it is divisible by the number (16) 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 10245456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561039).

10245456 is an abundant number, since it is smaller than the sum of its proper divisors (20876622).

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

10245456 is a wasteful number, since it uses less digits than its factorization.

10245456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 10245456 is about 3200.8523864746. The cubic root of 10245456 is about 217.1919698302.

Adding to 10245456 its reverse (65454201), we get a palindrome (75699657).

It can be divided in two parts, 10245 and 456, that added together give a palindrome (10701).

The spelling of 10245456 in words is "ten million, two hundred forty-five thousand, four hundred fifty-six".