1493305632 has 360 divisors, whose sum is σ = 5446115136. Its totient is φ = 393030144.

The previous prime is 1493305609. The next prime is 1493305633. The reversal of 1493305632 is 2365033941.

It is a happy number.

1493305632 is a `hidden beast` number, since 1 + 4 + 93 + 3 + 0 + 563 + 2 = 666.

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 (1493305633) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3066093 + ... + 3066579.

Almost surely, 2^1493305632 is an apocalyptic number.

1493305632 is a gapful number since it is divisible by the number (12) 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 1493305632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723057568).

1493305632 is an abundant number, since it is smaller than the sum of its proper divisors (3952809504).

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

1493305632 is a wasteful number, since it uses less digits than its factorization.

1493305632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1493305632 is about 38643.3129014581. The cubic root of 1493305632 is about 1143.0087832834.

The spelling of 1493305632 in words is "one billion, four hundred ninety-three million, three hundred five thousand, six hundred thirty-two".