454499760 has 640 divisors, whose sum is σ = 1889879040. Its totient is φ = 88473600.

The previous prime is 454499713. The next prime is 454499767. The reversal of 454499760 is 67994454.

It is a happy number.

It is a Cunningham number, because it is equal to 21319²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (454499767) 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, 11085340 + ... + 11085380.

It is an arithmetic number, because the mean of its divisors is an integer number (2952936).

Almost surely, 2^454499760 is an apocalyptic number.

454499760 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 454499760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

454499760 is an abundant number, since it is smaller than the sum of its proper divisors (1435379280).

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

454499760 is a wasteful number, since it uses less digits than its factorization.

454499760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 454499760 is about 21318.9999765467. Note that the first 4 decimals coincide. The cubic root of 454499760 is about 768.8551942768.

The spelling of 454499760 in words is "four hundred fifty-four million, four hundred ninety-nine thousand, seven hundred sixty".