1454112000 has 864 divisors, whose sum is σ = 6267590784. Its totient is φ = 331776000.

The previous prime is 1454111977. The next prime is 1454112001. The reversal of 1454112000 is 2114541.

1454112000 is a `hidden beast` number, since 1 + 4 + 541 + 120 + 0 + 0 = 666.

1454112000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1454112000² = 4228883417088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454112001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85535992 + ... + 85536008.

It is an arithmetic number, because the mean of its divisors is an integer number (7254156).

Almost surely, 2^1454112000 is an apocalyptic number.

1454112000 is a gapful number since it is divisible by the number (10) 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 1454112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133795392).

1454112000 is an abundant number, since it is smaller than the sum of its proper divisors (4813478784).

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

1454112000 is an equidigital number, since it uses as much as digits as its factorization.

1454112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1454112000 is about 38132.8205093722. The cubic root of 1454112000 is about 1132.9201107919.

Adding to 1454112000 its reverse (2114541), we get a palindrome (1456226541).

The spelling of 1454112000 in words is "one billion, four hundred fifty-four million, one hundred twelve thousand".