454967520 has 384 divisors, whose sum is σ = 1737179136. Its totient is φ = 97929216.

The previous prime is 454967519. The next prime is 454967561. The reversal of 454967520 is 25769454.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6790527 + ... + 6790593.

It is an arithmetic number, because the mean of its divisors is an integer number (4523904).

Almost surely, 2^454967520 is an apocalyptic number.

454967520 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 454967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868589568).

454967520 is an abundant number, since it is smaller than the sum of its proper divisors (1282211616).

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

454967520 is a wasteful number, since it uses less digits than its factorization.

454967520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 454967520 is about 21329.9676511710. The cubic root of 454967520 is about 769.1188661423.

The spelling of 454967520 in words is "four hundred fifty-four million, nine hundred sixty-seven thousand, five hundred twenty".