1493049600 has 729 divisors, whose sum is σ = 6491214093. Its totient is φ = 326430720.

The previous prime is 1493049553. The next prime is 1493049617. The reversal of 1493049600 is 69403941.

The square root of 1493049600 is 38640.

It is a perfect power (a square), and thus also a powerful number.

1493049600 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 0 + 49 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 537497856 + 955551744 = 23184^2 + 30912^2 .

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 80 ways as a sum of consecutive naturals, for example, 64915189 + ... + 64915211.

Almost surely, 2^1493049600 is an apocalyptic number.

1493049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1493049600 is the 38640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493049600

1493049600 is an abundant number, since it is smaller than the sum of its proper divisors (4998164493).

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

1493049600 is a wasteful number, since it uses less digits than its factorization.

1493049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 1493049600 is about 1142.9434553860.

Multiplying 1493049600 by its sum of digits (36), we get a square (53749785600 = 231840²).

1493049600 divided by its sum of digits (36) gives a square (41473600 = 6440²).

The spelling of 1493049600 in words is "one billion, four hundred ninety-three million, forty-nine thousand, six hundred".