4450790400 has 528 divisors, whose sum is σ = 17837001216. Its totient is φ = 955514880.

The previous prime is 4450790387. The next prime is 4450790411. The reversal of 4450790400 is 40970544.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9138957 + ... + 9139443.

Almost surely, 2^4450790400 is an apocalyptic number.

4450790400 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 4450790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918500608).

4450790400 is an abundant number, since it is smaller than the sum of its proper divisors (13386210816).

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

4450790400 is a wasteful number, since it uses less digits than its factorization.

4450790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4450790400 is about 66714.2443560594. The cubic root of 4450790400 is about 1644.9235343533.

The spelling of 4450790400 in words is "four billion, four hundred fifty million, seven hundred ninety thousand, four hundred".