1478032920 has 448 divisors, whose sum is σ = 6147731520. Its totient is φ = 311288832.

The previous prime is 1478032909. The next prime is 1478032949. The reversal of 1478032920 is 292308741.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653282 + ... + 2653838.

It is an arithmetic number, because the mean of its divisors is an integer number (13722615).

Almost surely, 2^1478032920 is an apocalyptic number.

1478032920 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 1478032920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073865760).

1478032920 is an abundant number, since it is smaller than the sum of its proper divisors (4669698600).

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

1478032920 is a wasteful number, since it uses less digits than its factorization.

1478032920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1478032920 is about 38445.1937178108. The cubic root of 1478032920 is about 1139.0987336439.

The spelling of 1478032920 in words is "one billion, four hundred seventy-eight million, thirty-two thousand, nine hundred twenty".