495629820 has 384 divisors, whose sum is σ = 1900953600. Its totient is φ = 104696064.

The previous prime is 495629809. The next prime is 495629843. The reversal of 495629820 is 28926594.

495629820 is a `hidden beast` number, since 4 + 9 + 562 + 9 + 82 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 4811889 + ... + 4811991.

It is an arithmetic number, because the mean of its divisors is an integer number (4950400).

Almost surely, 2^495629820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495629820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950476800).

495629820 is an abundant number, since it is smaller than the sum of its proper divisors (1405323780).

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

495629820 is a wasteful number, since it uses less digits than its factorization.

495629820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 495629820 is about 22262.7451137545. The cubic root of 495629820 is about 791.3813465385.

The spelling of 495629820 in words is "four hundred ninety-five million, six hundred twenty-nine thousand, eight hundred twenty".