1478313720 has 256 divisors, whose sum is σ = 5385139200. Its totient is φ = 358525440.

The previous prime is 1478313719. The next prime is 1478313721. The reversal of 1478313720 is 273138741.

It is an interprime number because it is at equal distance from previous prime (1478313719) and next prime (1478313721).

It is a super-2 number, since 2×1478313720² = 4370822909480476800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1478313721) 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, 996099 + ... + 997581.

It is an arithmetic number, because the mean of its divisors is an integer number (21035700).

Almost surely, 2^1478313720 is an apocalyptic number.

1478313720 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 1478313720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692569600).

1478313720 is an abundant number, since it is smaller than the sum of its proper divisors (3906825480).

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

1478313720 is a wasteful number, since it uses less digits than its factorization.

1478313720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1478313720 is about 38448.8454963215. The cubic root of 1478313720 is about 1139.1708652513.

The spelling of 1478313720 in words is "one billion, four hundred seventy-eight million, three hundred thirteen thousand, seven hundred twenty".