1476680040 has 384 divisors, whose sum is σ = 5650145280. Its totient is φ = 330739200.

The previous prime is 1476680021. The next prime is 1476680041. The reversal of 1476680040 is 400866741.

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

It is a junction number, because it is equal to n+sod(n) for n = 1476679977 and 1476680004.

It is not an unprimeable number, because it can be changed into a prime (1476680041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2823219 + ... + 2823741.

It is an arithmetic number, because the mean of its divisors is an integer number (14713920).

Almost surely, 2^1476680040 is an apocalyptic number.

1476680040 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 1476680040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825072640).

1476680040 is an abundant number, since it is smaller than the sum of its proper divisors (4173465240).

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

1476680040 is a wasteful number, since it uses less digits than its factorization.

1476680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1476680040 is about 38427.5947725069. The cubic root of 1476680040 is about 1138.7510791579.

The spelling of 1476680040 in words is "one billion, four hundred seventy-six million, six hundred eighty thousand, forty".