495487440 has 240 divisors, whose sum is σ = 2013942528. Its totient is φ = 106573824.

The previous prime is 495487439. The next prime is 495487511. The reversal of 495487440 is 44784594.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82789 + ... + 88571.

Almost surely, 2^495487440 is an apocalyptic number.

495487440 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 495487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006971264).

495487440 is an abundant number, since it is smaller than the sum of its proper divisors (1518455088).

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

495487440 is a wasteful number, since it uses less digits than its factorization.

495487440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 495487440 is about 22259.5471652053. The cubic root of 495487440 is about 791.3055590166.

The spelling of 495487440 in words is "four hundred ninety-five million, four hundred eighty-seven thousand, four hundred forty".