495544320 has 288 divisors, whose sum is σ = 1814248800. Its totient is φ = 124747776.

The previous prime is 495544307. The next prime is 495544381. The reversal of 495544320 is 23445594.

It is a happy number.

495544320 is a `hidden beast` number, since 4 + 95 + 544 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 1750899 + ... + 1751181.

It is an arithmetic number, because the mean of its divisors is an integer number (6299475).

Almost surely, 2^495544320 is an apocalyptic number.

495544320 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 495544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907124400).

495544320 is an abundant number, since it is smaller than the sum of its proper divisors (1318704480).

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

495544320 is a wasteful number, since it uses less digits than its factorization.

495544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 495544320 is about 22260.8247825637. The cubic root of 495544320 is about 791.3358374417.

The spelling of 495544320 in words is "four hundred ninety-five million, five hundred forty-four thousand, three hundred twenty".