495450720 has 288 divisors, whose sum is σ = 1841924448. Its totient is φ = 120766464.

The previous prime is 495450691. The next prime is 495450743. The reversal of 495450720 is 27054594.

495450720 is a `hidden beast` number, since 49 + 545 + 0 + 72 + 0 = 666.

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

It is a super-3 number, since 3×495450720³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905487 + ... + 906033.

It is an arithmetic number, because the mean of its divisors is an integer number (6395571).

Almost surely, 2^495450720 is an apocalyptic number.

495450720 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 495450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920962224).

495450720 is an abundant number, since it is smaller than the sum of its proper divisors (1346473728).

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

495450720 is a wasteful number, since it uses less digits than its factorization.

495450720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 495450720 is about 22258.7223353004. The cubic root of 495450720 is about 791.2860109544.

The spelling of 495450720 in words is "four hundred ninety-five million, four hundred fifty thousand, seven hundred twenty".