454659840 has 216 divisors, whose sum is σ = 1601335008. Its totient is φ = 119070720.

The previous prime is 454659823. The next prime is 454659851. The reversal of 454659840 is 48956454.

454659840 is a `hidden beast` number, since 4 + 54 + 6 + 598 + 4 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 702397 + ... + 703043.

It is an arithmetic number, because the mean of its divisors is an integer number (7413588).

Almost surely, 2^454659840 is an apocalyptic number.

454659840 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 454659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800667504).

454659840 is an abundant number, since it is smaller than the sum of its proper divisors (1146675168).

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

454659840 is a wasteful number, since it uses less digits than its factorization.

454659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 454659840 is about 21322.7540435095. The cubic root of 454659840 is about 768.9454502046.

The spelling of 454659840 in words is "four hundred fifty-four million, six hundred fifty-nine thousand, eight hundred forty".