495370080 has 336 divisors, whose sum is σ = 1824488064. Its totient is φ = 126904320.

The previous prime is 495370063. The next prime is 495370087. The reversal of 495370080 is 80073594.

495370080 is a `hidden beast` number, since 49 + 537 + 0 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495370087) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3615772 + ... + 3615908.

It is an arithmetic number, because the mean of its divisors is an integer number (5430024).

Almost surely, 2^495370080 is an apocalyptic number.

495370080 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 495370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912244032).

495370080 is an abundant number, since it is smaller than the sum of its proper divisors (1329117984).

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

495370080 is a wasteful number, since it uses less digits than its factorization.

495370080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 495370080 is about 22256.9108368614. The cubic root of 495370080 is about 791.2430784867.

The spelling of 495370080 in words is "four hundred ninety-five million, three hundred seventy thousand, eighty".