454294080 has 168 divisors, whose sum is σ = 1571606712. Its totient is φ = 120446976.

The previous prime is 454294067. The next prime is 454294081. The reversal of 454294080 is 80492454.

It can be written as a sum of positive squares in 4 ways, for example, as 111007296 + 343286784 = 10536^2 + 18528^2 .

It is a super-2 number, since 2×454294080² = 412766222246092800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454294081) 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, 670702 + ... + 671378.

Almost surely, 2^454294080 is an apocalyptic number.

454294080 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 454294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785803356).

454294080 is an abundant number, since it is smaller than the sum of its proper divisors (1117312632).

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

454294080 is a wasteful number, since it uses less digits than its factorization.

454294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 454294080 is about 21314.1755646330. The cubic root of 454294080 is about 768.7391971514.

The spelling of 454294080 in words is "four hundred fifty-four million, two hundred ninety-four thousand, eighty".