454961472000 has 960 divisors, whose sum is σ = 1808532925056. Its totient is φ = 101103206400.

The previous prime is 454961471999. The next prime is 454961472013. The reversal of 454961472000 is 274169454.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 348095347 + ... + 348096653.

Almost surely, 2^454961472000 is an apocalyptic number.

454961472000 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 454961472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904266462528).

454961472000 is an abundant number, since it is smaller than the sum of its proper divisors (1353571453056).

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

454961472000 is a wasteful number, since it uses less digits than its factorization.

454961472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 454961472000 in words is "four hundred fifty-four billion, nine hundred sixty-one million, four hundred seventy-two thousand".