456681652 has 48 divisors (see below), whose sum is σ = 955503360. Its totient is φ = 186734592.

The previous prime is 456681637. The next prime is 456681661. The reversal of 456681652 is 256186654.

It is a junction number, because it is equal to n+sod(n) for n = 456681599 and 456681608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370974 + ... + 372202.

It is an arithmetic number, because the mean of its divisors is an integer number (19906320).

Almost surely, 2^456681652 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 456681652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477751680).

456681652 is an abundant number, since it is smaller than the sum of its proper divisors (498821708).

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

456681652 is a wasteful number, since it uses less digits than its factorization.

456681652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1838 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The square root of 456681652 is about 21370.1111836134. Note that the first 4 decimals coincide. The cubic root of 456681652 is about 770.0835643271.

The spelling of 456681652 in words is "four hundred fifty-six million, six hundred eighty-one thousand, six hundred fifty-two".