495639040 has 160 divisors (see below), whose sum is σ = 1308572496. Its totient is φ = 178913280.

The previous prime is 495639031. The next prime is 495639061. The reversal of 495639040 is 40936594.

It can be written as a sum of positive squares in 8 ways, for example, as 217149696 + 278489344 = 14736^2 + 16688^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 495638984 and 495639002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763700 + ... + 1763980.

Almost surely, 2^495639040 is an apocalyptic number.

495639040 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 495639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654286248).

495639040 is an abundant number, since it is smaller than the sum of its proper divisors (812933456).

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

495639040 is a wasteful number, since it uses less digits than its factorization.

495639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 495639040 is about 22262.9521851887. The cubic root of 495639040 is about 791.3862537565.

The spelling of 495639040 in words is "four hundred ninety-five million, six hundred thirty-nine thousand, forty".