451504080 has 60 divisors (see below), whose sum is σ = 1516303620. Its totient is φ = 120400896.

The previous prime is 451503977. The next prime is 451504093. The reversal of 451504080 is 80405154.

It can be written as a sum of positive squares in 2 ways, for example, as 143712144 + 307791936 = 11988^2 + 17544^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312825 + ... + 314264.

It is an arithmetic number, because the mean of its divisors is an integer number (25271727).

Almost surely, 2^451504080 is an apocalyptic number.

451504080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451504080 is an abundant number, since it is smaller than the sum of its proper divisors (1064799540).

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

451504080 is a wasteful number, since it uses less digits than its factorization.

451504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627108 (or 627099 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 451504080 is about 21248.6253673032. The cubic root of 451504080 is about 767.1622538236.

The spelling of 451504080 in words is "four hundred fifty-one million, five hundred four thousand, eighty".