454167648 has 240 divisors, whose sum is σ = 1544480784. Its totient is φ = 129392640.

The previous prime is 454167641. The next prime is 454167667. The reversal of 454167648 is 846761454.

454167648 is a `hidden beast` number, since 4 + 541 + 67 + 6 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454167641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484236 + ... + 485172.

Almost surely, 2^454167648 is an apocalyptic number.

454167648 is a gapful number since it is divisible by the number (48) 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 454167648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772240392).

454167648 is an abundant number, since it is smaller than the sum of its proper divisors (1090313136).

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

454167648 is a wasteful number, since it uses less digits than its factorization.

454167648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 970 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 454167648 is about 21311.2094447969. The cubic root of 454167648 is about 768.6678760576.

The spelling of 454167648 in words is "four hundred fifty-four million, one hundred sixty-seven thousand, six hundred forty-eight".