495143040 has 384 divisors, whose sum is σ = 1939550400. Its totient is φ = 106831872.

The previous prime is 495143029. The next prime is 495143041. The reversal of 495143040 is 40341594.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 495142989 and 495143007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495143041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787382 + ... + 1787658.

Almost surely, 2^495143040 is an apocalyptic number.

495143040 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 495143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969775200).

495143040 is an abundant number, since it is smaller than the sum of its proper divisors (1444407360).

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

495143040 is a wasteful number, since it uses less digits than its factorization.

495143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 495143040 is about 22251.8098140354. The cubic root of 495143040 is about 791.1221781149.

The spelling of 495143040 in words is "four hundred ninety-five million, one hundred forty-three thousand, forty".