456121449 has 63 divisors (see below), whose sum is σ = 802623783. Its totient is φ = 258334272.

The previous prime is 456121423. The next prime is 456121453. The reversal of 456121449 is 944121654.

The square root of 456121449 is 21357.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 448084224 = 2835^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is a de Polignac number, because none of the positive numbers 2^k-456121449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456121409) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4036417 + ... + 4036529.

Almost surely, 2^456121449 is an apocalyptic number.

456121449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

456121449 is the 21357-th square number.

456121449 is the 10679-th centered octagonal number.

It is an amenable number.

456121449 is a deficient number, since it is larger than the sum of its proper divisors (346502334).

456121449 is an frugal number, since it uses more digits than its factorization.

456121449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 123 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 456121449 is about 769.7685530281.

Multiplying 456121449 by its sum of digits (36), we get a square (16420372164 = 128142²).

The spelling of 456121449 in words is "four hundred fifty-six million, one hundred twenty-one thousand, four hundred forty-nine".