1247484672 has 576 divisors, whose sum is σ = 4709376000. Its totient is φ = 317509632.

The previous prime is 1247484661. The next prime is 1247484673. The reversal of 1247484672 is 2764847421.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1247484673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21143779 + ... + 21143837.

It is an arithmetic number, because the mean of its divisors is an integer number (8176000).

Almost surely, 2^1247484672 is an apocalyptic number.

1247484672 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 1247484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354688000).

1247484672 is an abundant number, since it is smaller than the sum of its proper divisors (3461891328).

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

1247484672 is a wasteful number, since it uses less digits than its factorization.

1247484672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 1247484672 is about 35319.7490364810. The cubic root of 1247484672 is about 1076.4943118347.

The spelling of 1247484672 in words is "one billion, two hundred forty-seven million, four hundred eighty-four thousand, six hundred seventy-two".