451799040 has 384 divisors, whose sum is σ = 1811496960. Its totient is φ = 93388800.

The previous prime is 451799039. The next prime is 451799041. The reversal of 451799040 is 40997154.

It is an interprime number because it is at equal distance from previous prime (451799039) and next prime (451799041).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 451799040.

It is not an unprimeable number, because it can be changed into a prime (451799041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2365345 + ... + 2365535.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^451799040 is an apocalyptic number.

451799040 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 451799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

451799040 is an abundant number, since it is smaller than the sum of its proper divisors (1359697920).

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

451799040 is a wasteful number, since it uses less digits than its factorization.

451799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 451799040 is about 21255.5649183925. The cubic root of 451799040 is about 767.3292755117.

The spelling of 451799040 in words is "four hundred fifty-one million, seven hundred ninety-nine thousand, forty".