495253440 has 392 divisors, whose sum is σ = 1938912048. Its totient is φ = 119439360.

The previous prime is 495253397. The next prime is 495253463. The reversal of 495253440 is 44352594.

It is a happy number.

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 = 495253395 and 495253404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2565984 + ... + 2566176.

Almost surely, 2^495253440 is an apocalyptic number.

495253440 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 495253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969456024).

495253440 is an abundant number, since it is smaller than the sum of its proper divisors (1443658608).

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

495253440 is a wasteful number, since it uses less digits than its factorization.

495253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 495253440 is about 22254.2903728697. The cubic root of 495253440 is about 791.1809714944.

The spelling of 495253440 in words is "four hundred ninety-five million, two hundred fifty-three thousand, four hundred forty".