245379456 has 384 divisors, whose sum is σ = 891072000. Its totient is φ = 67060224.

The previous prime is 245379439. The next prime is 245379461. The reversal of 245379456 is 654973542.

245379456 is a `hidden beast` number, since 24 + 537 + 94 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×245379456² = 120422154853711872, which contains 22 as substring.

Its product of digits (907200) is a multiple of the sum of its prime divisors (35).

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, 10668661 + ... + 10668683.

It is an arithmetic number, because the mean of its divisors is an integer number (2320500).

Almost surely, 2^245379456 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 245379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536000).

245379456 is an abundant number, since it is smaller than the sum of its proper divisors (645692544).

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

245379456 is an frugal number, since it uses more digits than its factorization.

245379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 35 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 245379456 is about 15664.5924300634. The cubic root of 245379456 is about 626.0553527526.

The spelling of 245379456 in words is "two hundred forty-five million, three hundred seventy-nine thousand, four hundred fifty-six".