451331040 has 192 divisors, whose sum is σ = 1470643776. Its totient is φ = 116293632.

The previous prime is 451331039. The next prime is 451331057. The reversal of 451331040 is 40133154.

It is a junction number, because it is equal to n+sod(n) for n = 451330998 and 451331016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2874642 + ... + 2874798.

It is an arithmetic number, because the mean of its divisors is an integer number (7659603).

Almost surely, 2^451331040 is an apocalyptic number.

451331040 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 451331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735321888).

451331040 is an abundant number, since it is smaller than the sum of its proper divisors (1019312736).

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

451331040 is a wasteful number, since it uses less digits than its factorization.

451331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 451331040 is about 21244.5531842870. The cubic root of 451331040 is about 767.0642357216.

Adding to 451331040 its reverse (40133154), we get a palindrome (491464194).

It can be divided in two parts, 4513 and 31040, that added together give a palindrome (35553).

The spelling of 451331040 in words is "four hundred fifty-one million, three hundred thirty-one thousand, forty".