1451520000 has 650 divisors, whose sum is σ = 6192461528. Its totient is φ = 331776000.

The previous prime is 1451519989. The next prime is 1451520001. The reversal of 1451520000 is 251541.

1451520000 is a `hidden beast` number, since 145 + 1 + 520 + 0 + 0 + 0 = 666.

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 (1451520001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359997 + ... + 207360003.

Almost surely, 2^1451520000 is an apocalyptic number.

1451520000 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 1451520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096230764).

1451520000 is an abundant number, since it is smaller than the sum of its proper divisors (4740941528).

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

1451520000 is an frugal number, since it uses more digits than its factorization.

1451520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1451520000 is about 38098.8188793301. The cubic root of 1451520000 is about 1132.2465552760.

Adding to 1451520000 its reverse (251541), we get a palindrome (1451771541).

It can be divided in two parts, 1 and 451520000, that added together give a square (451520001 = 21249²).

The spelling of 1451520000 in words is "one billion, four hundred fifty-one million, five hundred twenty thousand".