454948132800 has 672 divisors, whose sum is σ = 1784852619264. Its totient is φ = 99196416000.

The previous prime is 454948132799. The next prime is 454948132817. The reversal of 454948132800 is 8231849454.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 454948132800.

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 95 ways as a sum of consecutive naturals, for example, 441268285 + ... + 441269315.

Almost surely, 2^454948132800 is an apocalyptic number.

454948132800 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 454948132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892426309632).

454948132800 is an abundant number, since it is smaller than the sum of its proper divisors (1329904486464).

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

454948132800 is a wasteful number, since it uses less digits than its factorization.

454948132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 454948132800 in words is "four hundred fifty-four billion, nine hundred forty-eight million, one hundred thirty-two thousand, eight hundred".