456977850 has 96 divisors (see below), whose sum is σ = 1371447936. Its totient is φ = 98304000.

The previous prime is 456977849. The next prime is 456977881. The reversal of 456977850 is 58779654.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 456977793 and 456977802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5050 + ... + 30650.

It is an arithmetic number, because the mean of its divisors is an integer number (14285916).

Almost surely, 2^456977850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456977850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685723968).

456977850 is an abundant number, since it is smaller than the sum of its proper divisors (914470086).

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

456977850 is a wasteful number, since it uses less digits than its factorization.

456977850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25640 (or 25635 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 456977850 is about 21377.0402535056. The cubic root of 456977850 is about 770.2500171977.

The spelling of 456977850 in words is "four hundred fifty-six million, nine hundred seventy-seven thousand, eight hundred fifty".