495482400 has 576 divisors, whose sum is σ = 2137363200. Its totient is φ = 108380160.

The previous prime is 495482387. The next prime is 495482419. The reversal of 495482400 is 4284594.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4384744 + ... + 4384856.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2^495482400 is an apocalyptic number.

495482400 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 495482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600).

495482400 is an abundant number, since it is smaller than the sum of its proper divisors (1641880800).

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

495482400 is a wasteful number, since it uses less digits than its factorization.

495482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 495482400 is about 22259.4339550672. The cubic root of 495482400 is about 791.3028760064.

The spelling of 495482400 in words is "four hundred ninety-five million, four hundred eighty-two thousand, four hundred".