245332800 has 252 divisors, whose sum is σ = 905698976. Its totient is φ = 65318400.

The previous prime is 245332771. The next prime is 245332819. The reversal of 245332800 is 8233542.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388485 + ... + 389115.

Almost surely, 2^245332800 is an apocalyptic number.

245332800 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 245332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452849488).

245332800 is an abundant number, since it is smaller than the sum of its proper divisors (660366176).

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

245332800 is an equidigital number, since it uses as much as digits as its factorization.

245332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 245332800 is about 15663.1031408211. The cubic root of 245332800 is about 626.0156712317.

It can be divided in two parts, 2453 and 32800, that added together give a palindrome (35253).

The spelling of 245332800 in words is "two hundred forty-five million, three hundred thirty-two thousand, eight hundred".