454735680 has 224 divisors, whose sum is σ = 1684934400. Its totient is φ = 103864320.

The previous prime is 454735657. The next prime is 454735681. The reversal of 454735680 is 86537454.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454735681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328590 + ... + 329970.

Almost surely, 2^454735680 is an apocalyptic number.

454735680 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 454735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842467200).

454735680 is an abundant number, since it is smaller than the sum of its proper divisors (1230198720).

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

454735680 is a wasteful number, since it uses less digits than its factorization.

454735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 454735680 is about 21324.5323512615. The cubic root of 454735680 is about 768.9882027385.

The spelling of 454735680 in words is "four hundred fifty-four million, seven hundred thirty-five thousand, six hundred eighty".