454872960 has 192 divisors, whose sum is σ = 1583880480. Its totient is φ = 120287232.

The previous prime is 454872959. The next prime is 454872967. The reversal of 454872960 is 69278454.

It is a happy number.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454872967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904069 + ... + 904571.

Almost surely, 2^454872960 is an apocalyptic number.

454872960 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 454872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791940240).

454872960 is an abundant number, since it is smaller than the sum of its proper divisors (1129007520).

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

454872960 is a wasteful number, since it uses less digits than its factorization.

454872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 454872960 is about 21327.7509362802. The cubic root of 454872960 is about 769.0655781485.

The spelling of 454872960 in words is "four hundred fifty-four million, eight hundred seventy-two thousand, nine hundred sixty".