451254528000 has 1152 divisors, whose sum is σ = 1770487074720. Its totient is φ = 110100480000.

The previous prime is 451254527989. The next prime is 451254528031. The reversal of 451254528000 is 825452154.

451254528000 is a `hidden beast` number, since 4 + 5 + 125 + 4 + 528 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 29232792576 + 422021735424 = 170976^2 + 649632^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605887860 + ... + 1605888140.

Almost surely, 2^451254528000 is an apocalyptic number.

451254528000 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 451254528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885243537360).

451254528000 is an abundant number, since it is smaller than the sum of its proper divisors (1319232546720).

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

451254528000 is a wasteful number, since it uses less digits than its factorization.

451254528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

It can be divided in two parts, 45 and 1254528000, that multiplied together give a square (56453760000 = 237600²).

The spelling of 451254528000 in words is "four hundred fifty-one billion, two hundred fifty-four million, five hundred twenty-eight thousand".