495484994400 has 288 divisors, whose sum is σ = 1852025212800. Its totient is φ = 113795481600.

The previous prime is 495484994399. The next prime is 495484994401. The reversal of 495484994400 is 4499484594.

It is an interprime number because it is at equal distance from previous prime (495484994399) and next prime (495484994401).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495484994401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7696 + ... + 995504.

It is an arithmetic number, because the mean of its divisors is an integer number (6430643100).

Almost surely, 2^495484994400 is an apocalyptic number.

495484994400 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 495484994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926012606400).

495484994400 is an abundant number, since it is smaller than the sum of its proper divisors (1356540218400).

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

495484994400 is a wasteful number, since it uses less digits than its factorization.

495484994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987862 (or 987849 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 495484994400 in words is "four hundred ninety-five billion, four hundred eighty-four million, nine hundred ninety-four thousand, four hundred".