454072227840 has 1728 divisors, whose sum is σ = 2071268690400. Its totient is φ = 94012047360.

The previous prime is 454072227769. The next prime is 454072227859. The reversal of 454072227840 is 48722270454.

454072227840 is a `hidden beast` number, since 4 + 540 + 7 + 2 + 2 + 27 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1639249782 + ... + 1639250058.

Almost surely, 2^454072227840 is an apocalyptic number.

454072227840 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 454072227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035634345200).

454072227840 is an abundant number, since it is smaller than the sum of its proper divisors (1617196462560).

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

454072227840 is a wasteful number, since it uses less digits than its factorization.

454072227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 454072227840 in words is "four hundred fifty-four billion, seventy-two million, two hundred twenty-seven thousand, eight hundred forty".