1461348000 has 384 divisors, whose sum is σ = 6082352640. Its totient is φ = 333849600.

The previous prime is 1461347989. The next prime is 1461348001. The reversal of 1461348000 is 8431641.

1461348000 is a `hidden beast` number, since 1 + 4 + 613 + 48 + 0 + 0 + 0 = 666.

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 (1461348001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755034 + ... + 756966.

It is an arithmetic number, because the mean of its divisors is an integer number (15839460).

Almost surely, 2^1461348000 is an apocalyptic number.

1461348000 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 1461348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041176320).

1461348000 is an abundant number, since it is smaller than the sum of its proper divisors (4621004640).

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

1461348000 is a wasteful number, since it uses less digits than its factorization.

1461348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1461348000 is about 38227.5816655985. The cubic root of 1461348000 is about 1134.7962270103.

Adding to 1461348000 its reverse (8431641), we get a palindrome (1469779641).

The spelling of 1461348000 in words is "one billion, four hundred sixty-one million, three hundred forty-eight thousand".