451090409400 has 240 divisors, whose sum is σ = 1596267307800. Its totient is φ = 118020913920.

The previous prime is 451090409369. The next prime is 451090409417. The reversal of 451090409400 is 4904090154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 595911 + ... + 1121289.

Almost surely, 2^451090409400 is an apocalyptic number.

451090409400 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 451090409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798133653900).

451090409400 is an abundant number, since it is smaller than the sum of its proper divisors (1145176898400).

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

451090409400 is a wasteful number, since it uses less digits than its factorization.

451090409400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525460 (or 525442 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 451090409400 its reverse (4904090154), we get a palindrome (455994499554).

The spelling of 451090409400 in words is "four hundred fifty-one billion, ninety million, four hundred nine thousand, four hundred".