456406104 has 128 divisors (see below), whose sum is σ = 1428295680. Its totient is φ = 118070400.

The previous prime is 456406103. The next prime is 456406109. The reversal of 456406104 is 401604654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456406103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 907117 + ... + 907619.

It is an arithmetic number, because the mean of its divisors is an integer number (11158560).

Almost surely, 2^456406104 is an apocalyptic number.

456406104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456406104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714147840).

456406104 is an abundant number, since it is smaller than the sum of its proper divisors (971889576).

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

456406104 is a wasteful number, since it uses less digits than its factorization.

456406104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 456406104 is about 21363.6631690354. The cubic root of 456406104 is about 769.9286513977.

The spelling of 456406104 in words is "four hundred fifty-six million, four hundred six thousand, one hundred four".