454356540 has 168 divisors, whose sum is σ = 1561171248. Its totient is φ = 110108160.

The previous prime is 454356521. The next prime is 454356583. The reversal of 454356540 is 45653454.

454356540 is a `hidden beast` number, since 4 + 54 + 3 + 565 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 454356495 and 454356504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 158964 + ... + 161796.

It is an arithmetic number, because the mean of its divisors is an integer number (9292686).

Almost surely, 2^454356540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454356540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780585624).

454356540 is an abundant number, since it is smaller than the sum of its proper divisors (1106814708).

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

454356540 is a wasteful number, since it uses less digits than its factorization.

454356540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 454356540 is about 21315.6407363232. The cubic root of 454356540 is about 768.7744263506.

It can be divided in two parts, 4543565 and 40, that added together give a triangular number (4543605 = T₃₀₁₄).

The spelling of 454356540 in words is "four hundred fifty-four million, three hundred fifty-six thousand, five hundred forty".