1493724960 has 288 divisors, whose sum is σ = 6274195200. Its totient is φ = 315131904.

The previous prime is 1493724959. The next prime is 1493724961. The reversal of 1493724960 is 694273941.

It is a happy number.

1493724960 is a `hidden beast` number, since 1 + 4 + 93 + 72 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1493724959) and next prime (1493724961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1493724960² = 4462428512254003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1493724961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125341 + ... + 136739.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^1493724960 is an apocalyptic number.

1493724960 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 1493724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137097600).

1493724960 is an abundant number, since it is smaller than the sum of its proper divisors (4780470240).

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

1493724960 is a wasteful number, since it uses less digits than its factorization.

1493724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1493724960 is about 38648.7381424025. The cubic root of 1493724960 is about 1143.1157608775.

The spelling of 1493724960 in words is "one billion, four hundred ninety-three million, seven hundred twenty-four thousand, nine hundred sixty".