451355040 has 144 divisors (see below), whose sum is σ = 1590091776. Its totient is φ = 116467200.

The previous prime is 451355039. The next prime is 451355063. The reversal of 451355040 is 40553154.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 451354995 and 451355013.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 39585 + ... + 49695.

It is an arithmetic number, because the mean of its divisors is an integer number (11042304).

Almost surely, 2^451355040 is an apocalyptic number.

451355040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795045888).

451355040 is an abundant number, since it is smaller than the sum of its proper divisors (1138736736).

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

451355040 is a wasteful number, since it uses less digits than its factorization.

451355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10163 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 451355040 is about 21245.1180274434. The cubic root of 451355040 is about 767.0778319616.

The spelling of 451355040 in words is "four hundred fifty-one million, three hundred fifty-five thousand, forty".