451405440 has 256 divisors, whose sum is σ = 1618617600. Its totient is φ = 118886400.

The previous prime is 451405421. The next prime is 451405441. The reversal of 451405440 is 44504154.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451405441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609194 + ... + 2609366.

It is an arithmetic number, because the mean of its divisors is an integer number (6322725).

Almost surely, 2^451405440 is an apocalyptic number.

451405440 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 451405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809308800).

451405440 is an abundant number, since it is smaller than the sum of its proper divisors (1167212160).

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

451405440 is a wasteful number, since it uses less digits than its factorization.

451405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 451405440 is about 21246.3041491926. The cubic root of 451405440 is about 767.1063824967.

Adding to 451405440 its reverse (44504154), we get a palindrome (495909594).

The spelling of 451405440 in words is "four hundred fifty-one million, four hundred five thousand, four hundred forty".