454560480 has 144 divisors (see below), whose sum is σ = 1692263664. Its totient is φ = 110192640.

The previous prime is 454560479. The next prime is 454560551. The reversal of 454560480 is 84065454.

454560480 is a `hidden beast` number, since 4 + 5 + 45 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1492 + ... + 30188.

It is an arithmetic number, because the mean of its divisors is an integer number (11751831).

Almost surely, 2^454560480 is an apocalyptic number.

454560480 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 454560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846131832).

454560480 is an abundant number, since it is smaller than the sum of its proper divisors (1237703184).

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

454560480 is a wasteful number, since it uses less digits than its factorization.

454560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28729 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 454560480 is about 21320.4240107930. The cubic root of 454560480 is about 768.8894317783.

It can be divided in two parts, 4545 and 60480, that added together give a square (65025 = 255²).

The spelling of 454560480 in words is "four hundred fifty-four million, five hundred sixty thousand, four hundred eighty".