245270400 has 192 divisors, whose sum is σ = 836665200. Its totient is φ = 63078400.

The previous prime is 245270369. The next prime is 245270453. The reversal of 245270400 is 4072542.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 277960 + ... + 278840.

Almost surely, 2^245270400 is an apocalyptic number.

245270400 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 245270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418332600).

245270400 is an abundant number, since it is smaller than the sum of its proper divisors (591394800).

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

245270400 is a wasteful number, since it uses less digits than its factorization.

245270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 245270400 is about 15661.1110716960. Note that the first 3 decimals coincide. The cubic root of 245270400 is about 625.9625913741.

The spelling of 245270400 in words is "two hundred forty-five million, two hundred seventy thousand, four hundred".