1478129940 has 288 divisors, whose sum is σ = 5473488384. Its totient is φ = 315187200.

The previous prime is 1478129929. The next prime is 1478129953. The reversal of 1478129940 is 499218741.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3234192 + ... + 3234648.

It is an arithmetic number, because the mean of its divisors is an integer number (19005168).

Almost surely, 2^1478129940 is an apocalyptic number.

1478129940 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 1478129940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736744192).

1478129940 is an abundant number, since it is smaller than the sum of its proper divisors (3995358444).

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

1478129940 is a wasteful number, since it uses less digits than its factorization.

1478129940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1478129940 is about 38446.4554933221. The cubic root of 1478129940 is about 1139.1236570719.

The spelling of 1478129940 in words is "one billion, four hundred seventy-eight million, one hundred twenty-nine thousand, nine hundred forty".