454365240 has 320 divisors, whose sum is σ = 1694044800. Its totient is φ = 97203456.

The previous prime is 454365229. The next prime is 454365251. The reversal of 454365240 is 42563454.

It is an interprime number because it is at equal distance from previous prime (454365229) and next prime (454365251).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5474239 + ... + 5474321.

It is an arithmetic number, because the mean of its divisors is an integer number (5293890).

Almost surely, 2^454365240 is an apocalyptic number.

454365240 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 454365240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847022400).

454365240 is an abundant number, since it is smaller than the sum of its proper divisors (1239679560).

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

454365240 is a wasteful number, since it uses less digits than its factorization.

454365240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 454365240 is about 21315.8448108443. The cubic root of 454365240 is about 768.7793331394.

The spelling of 454365240 in words is "four hundred fifty-four million, three hundred sixty-five thousand, two hundred forty".