495858240 has 224 divisors, whose sum is σ = 1810512000. Its totient is φ = 127604736.

The previous prime is 495858217. The next prime is 495858263. The reversal of 495858240 is 42858594.

495858240 is a `hidden beast` number, since 49 + 585 + 8 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (495858217) and next prime (495858263).

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, 249571 + ... + 251549.

Almost surely, 2^495858240 is an apocalyptic number.

495858240 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 495858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905256000).

495858240 is an abundant number, since it is smaller than the sum of its proper divisors (1314653760).

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

495858240 is a wasteful number, since it uses less digits than its factorization.

495858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 495858240 is about 22267.8746179333. The cubic root of 495858240 is about 791.5029020200.

The spelling of 495858240 in words is "four hundred ninety-five million, eight hundred fifty-eight thousand, two hundred forty".