1491379200 has 198 divisors, whose sum is σ = 5340668034. Its totient is φ = 397639680.

The previous prime is 1491379199. The next prime is 1491379237. The reversal of 1491379200 is 29731941.

It can be written as a sum of positive squares in 3 ways, for example, as 9437184 + 1481942016 = 3072^2 + 38496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 227164 + ... + 233636.

Almost surely, 2^1491379200 is an apocalyptic number.

1491379200 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 1491379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670334017).

1491379200 is an abundant number, since it is smaller than the sum of its proper divisors (3849288834).

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

1491379200 is a wasteful number, since it uses less digits than its factorization.

1491379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1491379200 is about 38618.3790441805. The cubic root of 1491379200 is about 1142.5170607159.

The spelling of 1491379200 in words is "one billion, four hundred ninety-one million, three hundred seventy-nine thousand, two hundred".