1456542000 has 400 divisors, whose sum is σ = 5425566432. Its totient is φ = 377913600.

The previous prime is 1456541993. The next prime is 1456542001. The reversal of 1456542000 is 2456541.

1456542000 is a `hidden beast` number, since 1 + 4 + 5 + 654 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1456542001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39365982 + ... + 39366018.

Almost surely, 2^1456542000 is an apocalyptic number.

1456542000 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 1456542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712783216).

1456542000 is an abundant number, since it is smaller than the sum of its proper divisors (3969024432).

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

1456542000 is an frugal number, since it uses more digits than its factorization.

1456542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1456542000 is about 38164.6695256228. The cubic root of 1456542000 is about 1133.5508425283.

Adding to 1456542000 its reverse (2456541), we get a palindrome (1458998541).

It can be divided in two parts, 14565 and 42000, that added together give a palindrome (56565).

The spelling of 1456542000 in words is "one billion, four hundred fifty-six million, five hundred forty-two thousand".