495264000 has 576 divisors, whose sum is σ = 2081544192. Its totient is φ = 101376000.

The previous prime is 495263983. The next prime is 495264017. The reversal of 495264000 is 462594.

It is an interprime number because it is at equal distance from previous prime (495263983) and next prime (495264017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7391967 + ... + 7392033.

It is an arithmetic number, because the mean of its divisors is an integer number (3613792).

Almost surely, 2^495264000 is an apocalyptic number.

495264000 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 495264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040772096).

495264000 is an abundant number, since it is smaller than the sum of its proper divisors (1586280192).

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

495264000 is a wasteful number, since it uses less digits than its factorization.

495264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 495264000 is about 22254.5276292264. The cubic root of 495264000 is about 791.1865947511.

The spelling of 495264000 in words is "four hundred ninety-five million, two hundred sixty-four thousand".