452381677440 has 1024 divisors, whose sum is σ = 1840620257280. Its totient is φ = 91791360000.

The previous prime is 452381677427. The next prime is 452381677469. The reversal of 452381677440 is 44776183254.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1802317315 + ... + 1802317565.

It is an arithmetic number, because the mean of its divisors is an integer number (1797480720).

Almost surely, 2^452381677440 is an apocalyptic number.

452381677440 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 452381677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920310128640).

452381677440 is an abundant number, since it is smaller than the sum of its proper divisors (1388238579840).

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

452381677440 is a wasteful number, since it uses less digits than its factorization.

452381677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 452381677440 in words is "four hundred fifty-two billion, three hundred eighty-one million, six hundred seventy-seven thousand, four hundred forty".