245616002400 has 144 divisors (see below), whose sum is σ = 805232836800. Its totient is φ = 65026306560.

The previous prime is 245616002347. The next prime is 245616002413. The reversal of 245616002400 is 4200616542.

It is a super-3 number, since 3×245616002400³ (a number of 35 digits) contains 333 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34530 + ... + 701729.

It is an arithmetic number, because the mean of its divisors is an integer number (5591894700).

Almost surely, 2^245616002400 is an apocalyptic number.

245616002400 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 245616002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402616418400).

245616002400 is an abundant number, since it is smaller than the sum of its proper divisors (559616834400).

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

245616002400 is a wasteful number, since it uses less digits than its factorization.

245616002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736421 (or 736408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 245616002400 its reverse (4200616542), we get a palindrome (249816618942).

The spelling of 245616002400 in words is "two hundred forty-five billion, six hundred sixteen million, two thousand, four hundred".