1530676224 has 352 divisors, whose sum is σ = 5659545600. Its totient is φ = 397025280.

The previous prime is 1530676223. The next prime is 1530676249. The reversal of 1530676224 is 4226760351.

1530676224 is a `hidden beast` number, since 1 + 530 + 67 + 62 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1530676223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128537 + ... + 2129255.

Almost surely, 2^1530676224 is an apocalyptic number.

1530676224 is a gapful number since it is divisible by the number (14) 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 1530676224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829772800).

1530676224 is an abundant number, since it is smaller than the sum of its proper divisors (4128869376).

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

1530676224 is a wasteful number, since it uses less digits than its factorization.

1530676224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1530676224 is about 39123.8574785258. The cubic root of 1530676224 is about 1152.4650899845.

The spelling of 1530676224 in words is "one billion, five hundred thirty million, six hundred seventy-six thousand, two hundred twenty-four".