454768020 has 360 divisors, whose sum is σ = 1762376616. Its totient is φ = 97542144.

The previous prime is 454768009. The next prime is 454768031. The reversal of 454768020 is 20867454.

It is an interprime number because it is at equal distance from previous prime (454768009) and next prime (454768031).

It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 401361156 = 7308^2 + 20034^2 .

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1349292 + ... + 1349628.

Almost surely, 2^454768020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454768020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881188308).

454768020 is an abundant number, since it is smaller than the sum of its proper divisors (1307608596).

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

454768020 is a wasteful number, since it uses less digits than its factorization.

454768020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 454768020 is about 21325.2906193562. The cubic root of 454768020 is about 769.0064320015.

The spelling of 454768020 in words is "four hundred fifty-four million, seven hundred sixty-eight thousand, twenty".