1478460672 has 162 divisors, whose sum is σ = 4617110862. Its totient is φ = 454791168.

The previous prime is 1478460667. The next prime is 1478460707. The reversal of 1478460672 is 2760648741.

It can be written as a sum of positive squares in 3 ways, for example, as 158155776 + 1320304896 = 12576^2 + 36336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387478 + ... + 391274.

Almost surely, 2^1478460672 is an apocalyptic number.

1478460672 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 1478460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308555431).

1478460672 is an abundant number, since it is smaller than the sum of its proper divisors (3138650190).

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

1478460672 is a wasteful number, since it uses less digits than its factorization.

1478460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 1478460672 is about 38450.7564554977. The cubic root of 1478460672 is about 1139.2086104849.

The spelling of 1478460672 in words is "one billion, four hundred seventy-eight million, four hundred sixty thousand, six hundred seventy-two".