451456128 has 48 divisors (see below), whose sum is σ = 1299115350. Its totient is φ = 150484992.

The previous prime is 451456073. The next prime is 451456147. The reversal of 451456128 is 821654154.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 419102784 + 32353344 = 20472^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 451456092 and 451456101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194793 + ... + 197096.

Almost surely, 2^451456128 is an apocalyptic number.

451456128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

451456128 is an abundant number, since it is smaller than the sum of its proper divisors (847659222).

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

451456128 is a wasteful number, since it uses less digits than its factorization.

451456128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391909 (or 391894 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 451456128 is about 21247.4969819977. The cubic root of 451456128 is about 767.1350940345.

It can be divided in two parts, 451456 and 128, that added together give a square (451584 = 672²).

The spelling of 451456128 in words is "four hundred fifty-one million, four hundred fifty-six thousand, one hundred twenty-eight".