496957050 has 144 divisors (see below), whose sum is σ = 1397555640. Its totient is φ = 126443520.

The previous prime is 496957049. The next prime is 496957081. The reversal of 496957050 is 50759694.

It is a happy number.

496957050 is a `hidden beast` number, since 496 + 95 + 70 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16426809 + 480530241 = 4053^2 + 21921^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 496956987 and 496957005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1474482 + ... + 1474818.

Almost surely, 2^496957050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496957050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698777820).

496957050 is an abundant number, since it is smaller than the sum of its proper divisors (900598590).

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

496957050 is a wasteful number, since it uses less digits than its factorization.

496957050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 496957050 is about 22292.5335033953. The cubic root of 496957050 is about 792.0871211937.

The spelling of 496957050 in words is "four hundred ninety-six million, nine hundred fifty-seven thousand, fifty".