4245330400 has 72 divisors (see below), whose sum is σ = 10464736464. Its totient is φ = 1681612800.

The previous prime is 4245330391. The next prime is 4245330407. The reversal of 4245330400 is 40335424.

4245330400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4245330407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56640 + ... + 108160.

It is an arithmetic number, because the mean of its divisors is an integer number (145343562).

Almost surely, 2^4245330400 is an apocalyptic number.

4245330400 is a gapful number since it is divisible by the number (40) 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 4245330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232368232).

4245330400 is an abundant number, since it is smaller than the sum of its proper divisors (6219406064).

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

4245330400 is a wasteful number, since it uses less digits than its factorization.

4245330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51644 (or 51631 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 4245330400 is about 65156.2000119712. The cubic root of 4245330400 is about 1619.2124404401.

Adding to 4245330400 its reverse (40335424), we get a palindrome (4285665824).

The spelling of 4245330400 in words is "four billion, two hundred forty-five million, three hundred thirty thousand, four hundred".