245496000 has 224 divisors, whose sum is σ = 830202048. Its totient is φ = 63897600.

The previous prime is 245495969. The next prime is 245496001. The reversal of 245496000 is 694542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (245496001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271904 + ... + 1272096.

Almost surely, 2^245496000 is an apocalyptic number.

245496000 is a gapful number since it is divisible by the number (20) 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 245496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415101024).

245496000 is an abundant number, since it is smaller than the sum of its proper divisors (584706048).

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

245496000 is a wasteful number, since it uses less digits than its factorization.

245496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 245496000 is about 15668.3119703432. The cubic root of 245496000 is about 626.1544529352.

The spelling of 245496000 in words is "two hundred forty-five million, four hundred ninety-six thousand".