245892672 has 168 divisors, whose sum is σ = 742976416. Its totient is φ = 80621568.

The previous prime is 245892617. The next prime is 245892677. The reversal of 245892672 is 276298542.

245892672 is a `hidden beast` number, since 2 + 4 + 589 + 2 + 67 + 2 = 666.

It is a super-2 number, since 2×245892672² = 120926412286599168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245892677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508463 + ... + 1508625.

Almost surely, 2^245892672 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 245892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371488208).

245892672 is an abundant number, since it is smaller than the sum of its proper divisors (497083744).

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

245892672 is an equidigital number, since it uses as much as digits as its factorization.

245892672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 245892672 is about 15680.9652764108. The cubic root of 245892672 is about 626.4915178743.

It can be divided in two parts, 24589 and 2672, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 245892672 in words is "two hundred forty-five million, eight hundred ninety-two thousand, six hundred seventy-two".