1471241772 has 384 divisors, whose sum is σ = 5298585600. Its totient is φ = 340588800.

The previous prime is 1471241731. The next prime is 1471241797. The reversal of 1471241772 is 2771421741.

It is a happy number.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3351129 + ... + 3351567.

It is an arithmetic number, because the mean of its divisors is an integer number (13798400).

Almost surely, 2^1471241772 is an apocalyptic number.

1471241772 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 1471241772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649292800).

1471241772 is an abundant number, since it is smaller than the sum of its proper divisors (3827343828).

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

1471241772 is a wasteful number, since it uses less digits than its factorization.

1471241772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 1471241772 is about 38356.7695720065. The cubic root of 1471241772 is about 1137.3514414048.

The spelling of 1471241772 in words is "one billion, four hundred seventy-one million, two hundred forty-one thousand, seven hundred seventy-two".