1245567456 has 288 divisors, whose sum is σ = 4292870400. Its totient is φ = 355114368.

The previous prime is 1245567431. The next prime is 1245567481. The reversal of 1245567456 is 6547655421.

1245567456 is a `hidden beast` number, since 1 + 2 + 45 + 567 + 45 + 6 = 666.

1245567456 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1245567431) and next prime (1245567481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2666935 + ... + 2667401.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^1245567456 is an apocalyptic number.

1245567456 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 1245567456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1245567456 is an abundant number, since it is smaller than the sum of its proper divisors (3047302944).

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

1245567456 is an frugal number, since it uses more digits than its factorization.

1245567456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 479 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 1245567456 is about 35292.5977508032. The cubic root of 1245567456 is about 1075.9425534667.

The spelling of 1245567456 in words is "one billion, two hundred forty-five million, five hundred sixty-seven thousand, four hundred fifty-six".