454361040 has 240 divisors, whose sum is σ = 1846810368. Its totient is φ = 97726464.

The previous prime is 454361027. The next prime is 454361051. The reversal of 454361040 is 40163454.

454361040 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 454360995 and 454361013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83029 + ... + 88331.

Almost surely, 2^454361040 is an apocalyptic number.

454361040 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 454361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923405184).

454361040 is an abundant number, since it is smaller than the sum of its proper divisors (1392449328).

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

454361040 is a wasteful number, since it uses less digits than its factorization.

454361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 454361040 is about 21315.7462923539. The cubic root of 454361040 is about 768.7769643526.

The spelling of 454361040 in words is "four hundred fifty-four million, three hundred sixty-one thousand, forty".