245624400 has 540 divisors, whose sum is σ = 1066202592. Its totient is φ = 53187840.

The previous prime is 245624329. The next prime is 245624413. The reversal of 245624400 is 4426542.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 107 ways as a sum of consecutive naturals, for example, 12927591 + ... + 12927609.

Almost surely, 2^245624400 is an apocalyptic number.

245624400 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 245624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533101296).

245624400 is an abundant number, since it is smaller than the sum of its proper divisors (820578192).

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

245624400 is a wasteful number, since it uses less digits than its factorization.

245624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 245624400 is about 15672.4088767490. The cubic root of 245624400 is about 626.2635982561.

The spelling of 245624400 in words is "two hundred forty-five million, six hundred twenty-four thousand, four hundred".