454975120 has 40 divisors (see below), whose sum is σ = 1069719480. Its totient is φ = 179942400.

The previous prime is 454975117. The next prime is 454975123. The reversal of 454975120 is 21579454.

It is an interprime number because it is at equal distance from previous prime (454975117) and next prime (454975123).

It can be written as a sum of positive squares in 4 ways, for example, as 78925456 + 376049664 = 8884^2 + 19392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 454975120.

It is not an unprimeable number, because it can be changed into a prime (454975123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24831 + ... + 39070.

It is an arithmetic number, because the mean of its divisors is an integer number (26742987).

Almost surely, 2^454975120 is an apocalyptic number.

454975120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454975120 is an abundant number, since it is smaller than the sum of its proper divisors (614744360).

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

454975120 is a wasteful number, since it uses less digits than its factorization.

454975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64003 (or 63997 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 454975120 is about 21330.1458035336. The cubic root of 454975120 is about 769.1231486977.

The spelling of 454975120 in words is "four hundred fifty-four million, nine hundred seventy-five thousand, one hundred twenty".