454164480 has 432 divisors, whose sum is σ = 1962926784. Its totient is φ = 94371840.

The previous prime is 454164461. The next prime is 454164499. The reversal of 454164480 is 84461454.

It is a happy number.

454164480 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (454164461) and next prime (454164499).

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

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, 41287675 + ... + 41287685.

It is an arithmetic number, because the mean of its divisors is an integer number (4543812).

Almost surely, 2^454164480 is an apocalyptic number.

454164480 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 454164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981463392).

454164480 is an abundant number, since it is smaller than the sum of its proper divisors (1508762304).

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

454164480 is an equidigital number, since it uses as much as digits as its factorization.

454164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 454164480 is about 21311.1351175858. The cubic root of 454164480 is about 768.6660887988. Note that the first 3 decimals are identical.

The spelling of 454164480 in words is "four hundred fifty-four million, one hundred sixty-four thousand, four hundred eighty".