451345440 has 192 divisors, whose sum is σ = 1750000896. Its totient is φ = 95219712.

The previous prime is 451345397. The next prime is 451345441. The reversal of 451345440 is 44543154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 451345398 and 451345407.

It is not an unprimeable number, because it can be changed into a prime (451345441) 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, 38514 + ... + 48846.

It is an arithmetic number, because the mean of its divisors is an integer number (9114588).

Almost surely, 2^451345440 is an apocalyptic number.

451345440 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 451345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875000448).

451345440 is an abundant number, since it is smaller than the sum of its proper divisors (1298655456).

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

451345440 is a wasteful number, since it uses less digits than its factorization.

451345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371 (or 10363 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 451345440 is about 21244.8920919830. The cubic root of 451345440 is about 767.0723935234.

Adding to 451345440 its reverse (44543154), we get a palindrome (495888594).

The spelling of 451345440 in words is "four hundred fifty-one million, three hundred forty-five thousand, four hundred forty".