245415430400 has 216 divisors, whose sum is σ = 730759270080. Its totient is φ = 79713607680.

The previous prime is 245415430367. The next prime is 245415430411. The reversal of 245415430400 is 4034514542.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707042 + ... + 995358.

Almost surely, 2^245415430400 is an apocalyptic number.

245415430400 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 245415430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365379635040).

245415430400 is an abundant number, since it is smaller than the sum of its proper divisors (485343839680).

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

245415430400 is a wasteful number, since it uses less digits than its factorization.

245415430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288369 (or 288350 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 245415430400 its reverse (4034514542), we get a palindrome (249449944942).

The spelling of 245415430400 in words is "two hundred forty-five billion, four hundred fifteen million, four hundred thirty thousand, four hundred".