451131840 has 252 divisors, whose sum is σ = 1613211912. Its totient is φ = 115706880.

The previous prime is 451131797. The next prime is 451131847. The reversal of 451131840 is 48131154.

It is a happy number.

451131840 is a `hidden beast` number, since 451 + 131 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451131847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2767599 + ... + 2767761.

Almost surely, 2^451131840 is an apocalyptic number.

451131840 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 451131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806605956).

451131840 is an abundant number, since it is smaller than the sum of its proper divisors (1162080072).

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

451131840 is a wasteful number, since it uses less digits than its factorization.

451131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 451131840 is about 21239.8644063469. The cubic root of 451131840 is about 766.9513683230.

Adding to 451131840 its reverse (48131154), we get a palindrome (499262994).

The spelling of 451131840 in words is "four hundred fifty-one million, one hundred thirty-one thousand, eight hundred forty".