456054 has 16 divisors (see below), whose sum is σ = 943920. Its totient is φ = 146720.

The previous prime is 456047. The next prime is 456061. The reversal of 456054 is 450654.

It is an interprime number because it is at equal distance from previous prime (456047) and next prime (456061).

It is a congruent number.

It is an unprimeable number.

456054 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1137 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (58995).

2⁴⁵⁶⁰⁵⁴ is an apocalyptic number.

456054 is an abundant number, since it is smaller than the sum of its proper divisors (487866).

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

456054 is a wasteful number, since it uses less digits than its factorization.

456054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 456054 is about 675.3177030110. The cubic root of 456054 is about 76.9730607960.

The spelling of 456054 in words is "four hundred fifty-six thousand, fifty-four".