4480492800 has 864 divisors, whose sum is σ = 18723301632. Its totient is φ = 920125440.

The previous prime is 4480492787. The next prime is 4480492813. The reversal of 4480492800 is 82940844.

It is an interprime number because it is at equal distance from previous prime (4480492787) and next prime (4480492813).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84537574 + ... + 84537626.

It is an arithmetic number, because the mean of its divisors is an integer number (21670488).

Almost surely, 2^4480492800 is an apocalyptic number.

4480492800 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 4480492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361650816).

4480492800 is an abundant number, since it is smaller than the sum of its proper divisors (14242808832).

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

4480492800 is a wasteful number, since it uses less digits than its factorization.

4480492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4480492800 is about 66936.4833256125. The cubic root of 4480492800 is about 1648.5745632250.

The spelling of 4480492800 in words is "four billion, four hundred eighty million, four hundred ninety-two thousand, eight hundred".