454112736 has 192 divisors, whose sum is σ = 1551384576. Its totient is φ = 112780800.

The previous prime is 454112689. The next prime is 454112741. The reversal of 454112736 is 637211454.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 454112697 and 454112706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168681 + ... + 171351.

It is an arithmetic number, because the mean of its divisors is an integer number (8080128).

Almost surely, 2^454112736 is an apocalyptic number.

454112736 is a gapful number since it is divisible by the number (46) 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 454112736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775692288).

454112736 is an abundant number, since it is smaller than the sum of its proper divisors (1097271840).

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

454112736 is a wasteful number, since it uses less digits than its factorization.

454112736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2717 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 454112736 is about 21309.9210697741. The cubic root of 454112736 is about 768.6368957270.

The spelling of 454112736 in words is "four hundred fifty-four million, one hundred twelve thousand, seven hundred thirty-six".