454514720000 has 540 divisors, whose sum is σ = 1320395766228. Its totient is φ = 155443200000.

The previous prime is 454514719961. The next prime is 454514720021. The reversal of 454514720000 is 27415454.

It can be written as a sum of positive squares in 10 ways, for example, as 298255792384 + 156258927616 = 546128^2 + 395296^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 329119310 + ... + 329120690.

Almost surely, 2^454514720000 is an apocalyptic number.

454514720000 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 454514720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660197883114).

454514720000 is an abundant number, since it is smaller than the sum of its proper divisors (865881046228).

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

454514720000 is a wasteful number, since it uses less digits than its factorization.

454514720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The spelling of 454514720000 in words is "four hundred fifty-four billion, five hundred fourteen million, seven hundred twenty thousand".