454146048 has 192 divisors, whose sum is σ = 1383782400. Its totient is φ = 147087360.

The previous prime is 454146047. The next prime is 454146079. The reversal of 454146048 is 840641454.

It is a happy number.

454146048 is a `hidden beast` number, since 4 + 5 + 41 + 4 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (454146047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2377633 + ... + 2377823.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^454146048 is an apocalyptic number.

454146048 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 454146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

454146048 is an abundant number, since it is smaller than the sum of its proper divisors (929636352).

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

454146048 is a wasteful number, since it uses less digits than its factorization.

454146048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

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

The square root of 454146048 is about 21310.7026632160. The cubic root of 454146048 is about 768.6556900367.

The spelling of 454146048 in words is "four hundred fifty-four million, one hundred forty-six thousand, forty-eight".