454975091424 has 768 divisors, whose sum is σ = 1669799577600. Its totient is φ = 117515059200.

The previous prime is 454975091419. The next prime is 454975091429. The reversal of 454975091424 is 424190579454.

454975091424 is a `hidden beast` number, since 4 + 5 + 4 + 97 + 509 + 1 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (454975091419) and next prime (454975091429).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454975091429) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 986930554 + ... + 986931014.

It is an arithmetic number, because the mean of its divisors is an integer number (2174218200).

Almost surely, 2^454975091424 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 454975091424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834899788800).

454975091424 is an abundant number, since it is smaller than the sum of its proper divisors (1214824486176).

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

454975091424 is a wasteful number, since it uses less digits than its factorization.

454975091424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 454975091424 in words is "four hundred fifty-four billion, nine hundred seventy-five million, ninety-one thousand, four hundred twenty-four".