495462240 has 576 divisors, whose sum is σ = 2201472000. Its totient is φ = 98537472.

The previous prime is 495462217. The next prime is 495462269. The reversal of 495462240 is 42264594.

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

It is a junction number, because it is equal to n+sod(n) for n = 495462195 and 495462204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489661 + ... + 2489859.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2^495462240 is an apocalyptic number.

495462240 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 495462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736000).

495462240 is an abundant number, since it is smaller than the sum of its proper divisors (1706009760).

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

495462240 is a wasteful number, since it uses less digits than its factorization.

495462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 495462240 is about 22258.9811087570. The cubic root of 495462240 is about 791.2921437838.

The spelling of 495462240 in words is "four hundred ninety-five million, four hundred sixty-two thousand, two hundred forty".