245420800 has 108 divisors (see below), whose sum is σ = 627557056. Its totient is φ = 94924800.

The previous prime is 245420797. The next prime is 245420807. The reversal of 245420800 is 8024542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (245420807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197782 + ... + 199018.

Almost surely, 2^245420800 is an apocalyptic number.

245420800 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 245420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313778528).

245420800 is an abundant number, since it is smaller than the sum of its proper divisors (382136256).

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

245420800 is a wasteful number, since it uses less digits than its factorization.

245420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 245420800 is about 15665.9120385632. The cubic root of 245420800 is about 626.0905121466.

The spelling of 245420800 in words is "two hundred forty-five million, four hundred twenty thousand, eight hundred".