456121125 has 80 divisors (see below), whose sum is σ = 895477440. Its totient is φ = 230364000.

The previous prime is 456121121. The next prime is 456121147. The reversal of 456121125 is 521121654.

456121125 is a `hidden beast` number, since 45 + 612 + 1 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 456121125 - 2² = 456121121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456121121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 191190 + ... + 193560.

It is an arithmetic number, because the mean of its divisors is an integer number (11193468).

Almost surely, 2^456121125 is an apocalyptic number.

456121125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456121125 is a deficient number, since it is larger than the sum of its proper divisors (439356315).

456121125 is a wasteful number, since it uses less digits than its factorization.

456121125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2398 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 456121125 is about 21356.9924146636. The cubic root of 456121125 is about 769.7683707630.

Adding to 456121125 its reverse (521121654), we get a palindrome (977242779).

The spelling of 456121125 in words is "four hundred fifty-six million, one hundred twenty-one thousand, one hundred twenty-five".