451478048000 has 576 divisors, whose sum is σ = 1345248952320. Its totient is φ = 147723264000.

The previous prime is 451478047973. The next prime is 451478048023. The reversal of 451478048000 is 840874154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548575589 + ... + 548576411.

Almost surely, 2^451478048000 is an apocalyptic number.

451478048000 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 451478048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672624476160).

451478048000 is an abundant number, since it is smaller than the sum of its proper divisors (893770904320).

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

451478048000 is an equidigital number, since it uses as much as digits as its factorization.

451478048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The spelling of 451478048000 in words is "four hundred fifty-one billion, four hundred seventy-eight million, forty-eight thousand".