451879728400 has 405 divisors, whose sum is σ = 1206432032013. Its totient is φ = 162623462400.

The previous prime is 451879728389. The next prime is 451879728403. The reversal of 451879728400 is 4827978154.

451879728400 = 1³ + 2³ + ... + 1159³.

The square root of 451879728400 is 672220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 450042405904 + 1837322496 = 670852^2 + 42864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451879728403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7407864370 + ... + 7407864430.

Almost surely, 2^451879728400 is an apocalyptic number.

451879728400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

451879728400 is the 672220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451879728400

451879728400 is an abundant number, since it is smaller than the sum of its proper divisors (754552303613).

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

451879728400 is a wasteful number, since it uses less digits than its factorization.

451879728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 451879728400 in words is "four hundred fifty-one billion, eight hundred seventy-nine million, seven hundred twenty-eight thousand, four hundred".