1478024820 has 240 divisors, whose sum is σ = 5041344000. Its totient is φ = 361117440.

The previous prime is 1478024819. The next prime is 1478024843. The reversal of 1478024820 is 284208741.

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 79 ways as a sum of consecutive naturals, for example, 953406 + ... + 954954.

It is an arithmetic number, because the mean of its divisors is an integer number (21005600).

Almost surely, 2^1478024820 is an apocalyptic number.

1478024820 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 1478024820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520672000).

1478024820 is an abundant number, since it is smaller than the sum of its proper divisors (3563319180).

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

1478024820 is a wasteful number, since it uses less digits than its factorization.

1478024820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1478024820 is about 38445.0883728988. The cubic root of 1478024820 is about 1139.0966527889.

The spelling of 1478024820 in words is "one billion, four hundred seventy-eight million, twenty-four thousand, eight hundred twenty".