456352542 has 64 divisors (see below), whose sum is σ = 1037805120. Its totient is φ = 150465600.

The previous prime is 456352537. The next prime is 456352549. The reversal of 456352542 is 245253654.

456352542 is a `hidden beast` number, since 4 + 5 + 63 + 52 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 456352497 and 456352506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456352549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441258 + ... + 442290.

It is an arithmetic number, because the mean of its divisors is an integer number (16215705).

Almost surely, 2^456352542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456352542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518902560).

456352542 is an abundant number, since it is smaller than the sum of its proper divisors (581452578).

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

456352542 is a wasteful number, since it uses less digits than its factorization.

456352542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1139 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 456352542 is about 21362.4095551040. The cubic root of 456352542 is about 769.8985316342.

The spelling of 456352542 in words is "four hundred fifty-six million, three hundred fifty-two thousand, five hundred forty-two".