245078400 has 288 divisors, whose sum is σ = 940821480. Its totient is φ = 55910400.

The previous prime is 245078311. The next prime is 245078411. The reversal of 245078400 is 4870542.

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

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 35 ways as a sum of consecutive naturals, for example, 470140 + ... + 470660.

Almost surely, 2^245078400 is an apocalyptic number.

245078400 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 245078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470410740).

245078400 is an abundant number, since it is smaller than the sum of its proper divisors (695743080).

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

245078400 is a wasteful number, since it uses less digits than its factorization.

245078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 245078400 is about 15654.9800383137. The cubic root of 245078400 is about 625.7992122467.

It can be divided in two parts, 24 and 5078400, that multiplied together give a square (121881600 = 11040²).

The spelling of 245078400 in words is "two hundred forty-five million, seventy-eight thousand, four hundred".