454458240 has 192 divisors, whose sum is σ = 1580538960. Its totient is φ = 120324096.

The previous prime is 454458223. The next prime is 454458241. The reversal of 454458240 is 42854454.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 454458195 and 454458204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454458241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1480167 + ... + 1480473.

Almost surely, 2^454458240 is an apocalyptic number.

454458240 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 454458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790269480).

454458240 is an abundant number, since it is smaller than the sum of its proper divisors (1126080720).

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

454458240 is a wasteful number, since it uses less digits than its factorization.

454458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 454458240 is about 21318.0261750473. The cubic root of 454458240 is about 768.8317811073.

The spelling of 454458240 in words is "four hundred fifty-four million, four hundred fifty-eight thousand, two hundred forty".