457826850 has 192 divisors, whose sum is σ = 1431158400. Its totient is φ = 106686720.

The previous prime is 457826849. The next prime is 457826861. The reversal of 457826850 is 58628754.

457826850 is a `hidden beast` number, since 4 + 578 + 26 + 8 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 457826796 and 457826805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332764 + ... + 334136.

It is an arithmetic number, because the mean of its divisors is an integer number (7453950).

Almost surely, 2^457826850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457826850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715579200).

457826850 is an abundant number, since it is smaller than the sum of its proper divisors (973331550).

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

457826850 is a wasteful number, since it uses less digits than its factorization.

457826850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 457826850 is about 21396.8887925324. Note that the first 3 decimals coincide. The cubic root of 457826850 is about 770.7267271774.

The spelling of 457826850 in words is "four hundred fifty-seven million, eight hundred twenty-six thousand, eight hundred fifty".