495918720 has 256 divisors, whose sum is σ = 1916784000. Its totient is φ = 120176640.

The previous prime is 495918719. The next prime is 495918743. The reversal of 495918720 is 27819594.

495918720 is a `hidden beast` number, since 495 + 91 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 188776 + ... + 191384.

Almost surely, 2^495918720 is an apocalyptic number.

495918720 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 495918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958392000).

495918720 is an abundant number, since it is smaller than the sum of its proper divisors (1420865280).

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

495918720 is a wasteful number, since it uses less digits than its factorization.

495918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 495918720 is about 22269.2325866878. The cubic root of 495918720 is about 791.5350806721.

It can be divided in two parts, 49591 and 8720, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 495918720 in words is "four hundred ninety-five million, nine hundred eighteen thousand, seven hundred twenty".