1521792000 has 264 divisors, whose sum is σ = 5488039752. Its totient is φ = 405504000.

The previous prime is 1521791983. The next prime is 1521792001. The reversal of 1521792000 is 2971251.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 1519128576 = 1632^2 + 38976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1521792001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151340 + ... + 1152660.

Almost surely, 2^1521792000 is an apocalyptic number.

1521792000 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 1521792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744019876).

1521792000 is an abundant number, since it is smaller than the sum of its proper divisors (3966247752).

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

1521792000 is a wasteful number, since it uses less digits than its factorization.

1521792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1521792000 is about 39010.1525246954. The cubic root of 1521792000 is about 1150.2310814776.

The spelling of 1521792000 in words is "one billion, five hundred twenty-one million, seven hundred ninety-two thousand".