4425456400 has 60 divisors (see below), whose sum is σ = 10737525924. Its totient is φ = 1752640000.

The previous prime is 4425456391. The next prime is 4425456407. The reversal of 4425456400 is 46545244.

It can be written as a sum of positive squares in 6 ways, for example, as 20214016 + 4405242384 = 4496^2 + 66372^2 .

It is not an unprimeable number, because it can be changed into a prime (4425456407) 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, 14371 + ... + 95170.

Almost surely, 2^4425456400 is an apocalyptic number.

4425456400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4425456400 is an abundant number, since it is smaller than the sum of its proper divisors (6312069524).

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

4425456400 is a wasteful number, since it uses less digits than its factorization.

4425456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109660 (or 109649 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 4425456400 is about 66524.1039022699. The cubic root of 4425456400 is about 1641.7966132919.

The spelling of 4425456400 in words is "four billion, four hundred twenty-five million, four hundred fifty-six thousand, four hundred".