495528000 has 224 divisors, whose sum is σ = 1785932928. Its totient is φ = 120064000.

The previous prime is 495527993. The next prime is 495528023. The reversal of 495528000 is 825594.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263062 + ... + 264938.

Almost surely, 2^495528000 is an apocalyptic number.

495528000 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 495528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892966464).

495528000 is an abundant number, since it is smaller than the sum of its proper divisors (1290404928).

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

495528000 is a wasteful number, since it uses less digits than its factorization.

495528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 495528000 is about 22260.4582163081. The cubic root of 495528000 is about 791.3271501981.

The spelling of 495528000 in words is "four hundred ninety-five million, five hundred twenty-eight thousand".