245964456 has 96 divisors (see below), whose sum is σ = 690493440. Its totient is φ = 79035264.

The previous prime is 245964427. The next prime is 245964473. The reversal of 245964456 is 654469542.

245964456 = T₁₂₃ + T₁₂₄ + ... + T₁₁₃₈.

245964456 is a `hidden beast` number, since 2 + 4 + 596 + 4 + 4 + 56 = 666.

245964456 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 337965 + ... + 338691.

It is an arithmetic number, because the mean of its divisors is an integer number (7192640).

Almost surely, 2^245964456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245964456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345246720).

245964456 is an abundant number, since it is smaller than the sum of its proper divisors (444528984).

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

245964456 is a wasteful number, since it uses less digits than its factorization.

245964456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 245964456 is about 15683.2539990909. The cubic root of 245964456 is about 626.5524763014.

The spelling of 245964456 in words is "two hundred forty-five million, nine hundred sixty-four thousand, four hundred fifty-six".